Consult Multiple-Concept Example 10 in preparation for this problem. Traveling at a speed of 16.1 m/s, the driver of an automobile suddenly locks the wheels by slamming on the brakes. The coefficient of kinetic friction between the tires and the road is 0.720. What is the speed of the automobile after 1.30s have elapsed? Ignore the effects of air resistance.

Answers

Answer 1

The speed of the automobile after 1.30 seconds have elapsed is 15.164 m/s.

Given the following data,

we will have to calculate the velocity of the car after 1.30 seconds:

Initial velocity, u = 16.1 m/s

Final velocity, v =?

Time elapsed, t = 1.30s

Coefficient of kinetic friction, μk = 0.720

We will apply the law of motion, i.e., v = u - μkt

Where, v is the final velocity of the car after 1.30 seconds,

u is the initial velocity of the car,

μk is the coefficient of kinetic friction,

t is the time elapsed after 1.30 seconds

Given values,

u = 16.1 m/sμk = 0.720t = 1.30s

Substituting the given values in the equation,

we get v = 16.1 m/s - (0.720 x 1.30s)

v = 16.1 m/s - 0.936v = 15.164 m/s

Therefore, the speed of the automobile after 1.30 seconds have elapsed is 15.164 m/s.

To know more about Speed: https://brainly.com/question/5248528

#SPJ11


Related Questions

Describes depolarizing vs nondepolarizing neuromuscular blockers

Answers

Acetylcholine and non-depolarizing blockers battle it out for receptors in order to function. They assist with surgery and mechanical ventilation. Depolarizing substances.

On the other hand, result in prolonged activation and consequent desensitisation of the receptors.

Non-depolarizing neuromuscular blockers (nNMBs) are given as adjuvant therapy in the management of critically sick patients as well as as primary therapy to facilitate endotracheal intubations. nNMBs (rocuronium, vecuronium, pancuronium, atracurium, cisatracurium, mivacurium) are primarily used during routine and emergency intubations to facilitate airway management and lower the risk of laryngeal injury. This activity describes the indications, mode of action, administration techniques, significant adverse effects, contraindications, monitoring, and toxicity of nNMBs so that healthcare professionals can guide patient therapy towards the best results possible during anaesthesia and other medical procedures where nNMBs are beneficial therapeutically.

Learn more about Depolarizing here:

https://brainly.com/question/25533751

#SPJ4

Storm clouds build up large negative charges, as described in the chapter. The charges dwell in charge centers, regions of concentrated charge. Suppose a cloud has -25 C in a 1.0-km-diameter spherical charge center located 10 km above the ground, as sketched in (Figure 1) . The negative charge center attracts a similar amount of positive charge that is spread on the ground below the cloud.
The charge center and the ground function as a charged capacitor, with a potential difference of approximately 4.1×108 V . The large electric field between these two "electrodes" may ionize the air, leading to a conducting path between the cloud and the ground. Charges will flow along this conducting path, causing a discharge of the capacitor−a lightning strike.
What is the approximate magnitude of the electric field between the charge center and the ground??
What is the approximate capacitance of the charge center + ground system?
If 12.5 C of charge is transferred from the cloud to the ground in a lightning strike, what fraction of the stored energy is dissipated?
If the cloud transfers all of its charge to the ground via several rapid lightning flashes lasting a total of 1 s, what is the average power?

Answers

The electric field between the charge center and the ground can be calculated using the formula:

E = V/d

where E is the electric field, V is the potential difference, and d is the distance between the two electrodes. In this case, the potential difference is 4.1×10^8 V and the distance is 10 km (which we need to convert to meters):

d = 10 km = 10,000 m

So, the electric field is:

E = 4.1×10^8 V / 10,000 m = 4.1×10^4 V/m

The capacitance of the charge center + ground system can be calculated using the formula:

C = Q/V

where C is the capacitance, Q is the charge stored, and V is the potential difference. In this case, the charge stored is -25 C (since it's a negative charge) and the potential difference is 4.1×10^8 V:

C = -25 C / 4.1×10^8 V = -6.1×10^-8 F

Note that capacitance is always positive, but in this case, it came out negative because the charge is negative.

The energy stored in a capacitor is given by the formula:

U = 1/2 CV^2

where U is the energy stored, C is the capacitance, and V is the potential difference. In this case, the energy stored before the lightning strike is:

U = 1/2 (-6.1×10^-8 F) (4.1×10^8 V)^2 = 5.1×10^14 J

If 12.5 C of charge is transferred from the cloud to the ground in a lightning strike, the energy dissipated is:

U' = 1/2 (-6.1×10^-8 F) (4.1×10^8 V - 12.5 C/(-6.1×10^-8 F))^2 = 3.3×10^14 J

So, the fraction of the stored energy that is dissipated is:

(U - U') / U = (5.1×10^14 J - 3.3×10^14 J) / 5.1×10^14 J = 0.35 or 35%

The average power of the lightning flashes can be calculated using the formula:

P = U/t

where P is the power, U is the energy transferred, and t is the time taken. In this case, the energy transferred is 25 C × 4.1×10^8 V = 1.03×10^10 J (since the potential difference is the same as before the lightning strike), and the time taken is 1 s (since the flashes last a total of 1 s):

P = 1.03×10^10 J / 1 s = 1.03×10^10 W or 10.3 GW (since 1 GW = 10^9 W)

For more questions like electrodes  visit the link below:

https://brainly.com/question/18271766

#SPJ11

A kangaroo is capable of jumping to a height of 2.62m. Determine the takeoff speed of the kangaroo.

Answers

Answer: 7.17

Explanation:

Maximum height reached by Kangaroo H=2.62

Final velocity at the maximum height v=0

Acceleration due to gravity   g=−9.8 m/s2    

Using   v2−u2=2gH∴   0−u2=2(−9.8)(2.62)

⟹ u=2(9.8)(2.62)​=7.17 m/s

Una tabla de madera mide 61. 6cm como se expresa en metros esa longitud

Answers

The length of the board of wood expressed in meters is 0.616 m.

To convert 61.6 cm to meters, we can use the formula:

Length in meters = Length in centimeters ÷ 100

Plugging in the given value, we get:

Length in meters = 61.6 cm ÷ 100 = 0.616 m

Wood is a natural composite material made of cellulose fibers, lignin, and hemicelluloses, which are held together by a complex network of bonds. The cellulose fibers provide strength and rigidity, while the lignin acts as a binder, holding the fibers together. The hemicelluloses are responsible for the elasticity and flexibility of the material.

Wood has many interesting physical properties that make it a valuable material in a wide range of applications. For example, it is a good insulator, making it useful for construction and electrical applications. It is also a good acoustic absorber, making it useful in musical instruments and recording studios.

To learn more about Wood visit here:

brainly.com/question/10967023

#SPJ4

Complete Question:

A board of wood measures 61.6 cm as that length is expressed in meters

Two 4.4 kg bodies, A and B, collide. The velocities before the collision are A = (28i + 27j) m/s and B = (9.8i + 1.8j) m/s. After the collision, 'A = (3.7i + 3.2j) m/s. What are (a) the x-component and (b) the y-component of the final velocity of B? (c) What is the change in the total kinetic energy (including sign)?

Answers

Answer:jfnvufhdfiprhfpiurgh8rhvjm vjfnb

Explanation:

the iron core of a transformer becomes ________________ when the current flows through the primary coil.

Answers

The iron core of a transformer becomes magnetized when the current flows through the primary coil.

Electrical energy is transferred between the main and secondary coils of a transformer through a magnetic circuit that is created by the iron core. A magnetic field that is continuously changing is produced in the iron core when an alternating current is fed through the primary coil. Energy is transferred between the coils as a result of the magnetic field's induction of a matching current in the secondary coil. Because of its high permeability and sensitivity to magnetism, the iron core can magnetize. A greater induced current is produced in the secondary coil as a result of the first coil's magnetic field being amplified by the iron core's magnetization. The effective transmission of electrical energy in a transformer depends on the magnetic characteristics of the iron core.

learn more about magnetized here:

https://brainly.com/question/2841288

#SPJ4

why is europa considered a good candidate for the possible existence of life?

Answers

Europa is considered a good candidate for the possible existence of life because it has a subsurface ocean of liquid water that is believed to be in contact with a rocky seafloor, which provides a source of chemical energy and nutrients that could support life.

Additionally, observations by the Galileo spacecraft and ground-based telescopes suggest the presence of plumes of water vapor and other materials erupting from Europa's surface, providing a possible means for organic molecules to reach the surface and potentially support life.

Furthermore, Europa is believed to have a relatively stable environment and is shielded from harmful solar and cosmic radiation by its thick ice crust, which could protect any potential life forms from harmful radiation.

To learn more about molecules refer to:

brainly.com/question/19922822

#SPJ4

The period of a satellite, the time it takes for a complete revolution, depends on the satellite's a. radial distance. b. mass. c. weight. d. all of these e. none of these

Answers

The period of a satellite, the time it takes for a complete revolution, depends on the satellite's radial distance. Hence, the correct option is a.

What is a satellite?

A satellite is an object in space that revolves around a planet, a moon, or even another satellite. Satellites, particularly those in the field of technology, enable the gathering of information and communication of information between two locations on Earth. Satellites can also be used for weather forecasting and military surveillance.

A revolution is one complete orbit around a central body for a satellite. The amount of time it takes for a satellite to complete one revolution is known as the satellite's period. As a result, it is clear that the period of a satellite depends on its radial distance. The closer a satellite is to the planet, the shorter its period would be, while the farther away it is, the longer its period would be.

To know more about satellite:

https://brainly.com/question/13266803

#SPJ11

A telephone pole casts a clear shadow in the light from a distant head lamp of a car, but no such effect is noticed for the sound from the car horn. why?

Answers

Answer:

A telephone pole casts a clear shadow in the light from a distant head lamp of a car, but no such effect is noticed for the sound from the car horn. Why? Answer: The sound and light both are waves. But the wavelength of sound waves is very large as compared to the wavelength of light waves.

Explanation:

if it helped you please mark me a brainliest :)))

calculate the distance moved by a car accelerating from rest at a constant rate of 2m/s squared for 5 s

Answers

Answer:

D=5

Explanation:

D=1/2*b*h

D=1/2*2*5

D=5

1. about a trillion comets are thought to be located far, far beyond pluto in the______.
2. the bright spherical part of a comet observed when it is close to the sun is the ______.
3. a comet's ____ stretches directly away from the sun.
4. a comet's____ is the frozen portion of a comet.
5. particles ejected from a comet can cause a(n) ______ on earth.
6. the ______ extends from about beyond the orbit of neptune to about twice the distance of neptune from the sun.

Answers

1. About a trillion comets are thought to be located far, far beyond Pluto in the Oort Cloud.

2. The bright spherical part of a comet observed when it is close to the sun is the coma.

3. A comet's tail stretches directly away from the sun.

4. A comet's nucleus is the frozen portion of a comet.

5. Particles ejected from a comet can cause a meteor shower on earth.

6. The Kuiper Belt extends from about beyond the orbit of Neptune to about twice the distance of Neptune from the sun.

A comet is a small, icy, dusty celestial body. When a comet is close to the sun, it may emit gas and dust into space, producing a visible coma and a tail. The nucleus is the frozen portion of a comet, whereas the coma is the bright spherical part of a comet observed when it is close to the sun. The tail of a comet extends directly away from the sun.

The Oort Cloud is the location of about a trillion comets, far beyond Pluto. The Kuiper Belt, on the other hand, extends from beyond the orbit of Neptune to about twice the distance of Neptune from the sun. Finally, particles ejected from a comet can cause a meteor shower on earth.

Learn more about Comet:

https://brainly.com/question/12443607

#SPJ11

aball is thrown horizontally from the top of a building 120 m high. the ball strikes the ground at a point 75 m horizontally away from and below the point of release. what is the resultant speed of the ball just before it strikes the ground?

Answers

The resultant speed of the ball just before it strikes the ground can be calculated by using the equation of motion. The equation of motion for an object in free fall is: s = u + at

Where:

s is the distance travelled. u is the initial velocity.a is the acceleration (due to gravity). t is the time.

In this case, the initial velocity (u) is 0 (since it is thrown horizontally). The acceleration (a) is 9.81 m/s2, and the distance travelled (s) is 195 m (the distance from the top of the building to the point of impact).

Plugging the values into the equation: 195 = 0 + 9.81t. Solving for t, we get t = 19.84 s.

The resultant speed (v) can be calculated by using the equation v = u + at. Since u is 0, the equation simplifies to v = 9.81t. Plugging in the value of t that we found earlier, we get v = 195.87 m/s, which is the resultant speed of the ball just before it strikes the ground.

Learn more about speed: https://brainly.com/question/6504879

#SPJ11

If you stand on one foot while holding your other leg up behind you, your muscles apply a force to hold your leg in this raised position. We can model this situation as in Figure 1). The leg pivots at the knee joint, and the force that holds the leg up is provided by a tendon attached to the lower leg as shown Assume that the lower leg and the foot have a combined mass of 3.6kg, and that the combined center of gravity is at the center of Figure he knot What is the magnitude of this force? The london provides you hold your leg in this position the upper legeerts a force Express your answer with the appropriate units the lower le TARO? Value Units Sube

Answers

To keep the leg in the raised position, the tendon should provide 160N force.

The rotating force or moment of a force around a particular axis or pivot point is measured by torque. The tendency of a force to cause an object to spin along an axis is described as a vector quantity, torque.

Given: combined mass of the lower leg and the foot, m = 3.6kg

position of the center of gravity, r1 = 25cm

r = 0.25m

distance between tendon and lower leg, r2 = 5cm = 0.05m

torque applied will be τ = 3.6 × 10 × 0.25

τ = 8 N-m

the force applied by tendon

F = τ/ r2

F = 8/ 0.05

F = 160N

Therefore, To keep the leg in the raised position, the tendon should provide 160N force.

To know more about torque, click here:

https://brainly.com/question/29024338

#SPJ12

A resistor of 4Ω is connected to a series combination of two batteries, 8 V and 4 V. Calculate:
a) The current I.
b) The potential difference Uba
c) The potential difference Uba', when switch S is open.​

Answers

Answer:

Explanation:

o calculate the current I, we can use Ohm's Law which states that I = V/R, where V is the total voltage across the resistor and R is the resistance of the resistor.

a) The total voltage across the resistor can be found by adding the voltage of the two batteries in series, which gives a total voltage of 8V + 4V = 12V.

So, I = V/R = 12V/4Ω = 3A.

b) The potential difference Uba is simply the voltage difference between the two batteries in the series combination, which is 8V - 4V = 4V.

c) When switch S is open, the circuit is broken and the potential difference Uba' becomes equal to the voltage of the 8V battery. So, Uba' = 8V.

The electric potential at a distance d
from a certain point charge is V relative to infinity. What is the potential (relative to infinity) at half the distance for the same charge?
A. V/4
B. 2 V
C. V/2
D. 4 V

Answers

The electric potential from a certain point charge when the distance is halve for the same charge will be V/2. Thus, the correct option will be C.

What is Electric potential?

According to the Coulomb's law, the electric field is the gradient of the electric potential. And, the electric potential V is given by:V = kQ/r, where Q is the charge, r is the distance between the charge and the point where the potential is being calculated, and k is Coulomb's constant. Here, the electric potential at a distance d from a certain point charge is V relative to infinity.

The electric potential (relative to infinity) at half the distance for the same charge is the distance r/2, so:

V' = kQ/r

2V' = kQ/(d/2)

V' = 2kQ/d

V' = V/2

Therefore, the electric potential at half the distance for the same charge is V/2.

Learn more about Electric potential here:

https://brainly.com/question/12645463

#SPJ11

PLS HELPPPP ILL GIVE YOU 30 POINTS
Spinning is ________. A. Biking in the mountains or hills B. Biking on rough terrain C. Cycling on a stationary bike D. Cycling on a road bike

Answers

Answer:

C

Explanation:

 Ever heard of a 'spin' class at your local gym?  ===> spinning on a stationary bike with others doing the same

Answer: D

Explanation:

What gauge pressure must a pump produce to pump water from the bottom of Grand Canyon (elevation 730 m) to Indian Gardens (elevation 1370 m)? Express your results in pascals and in atmospheres.

Answers

The gauge pressure that a pump must produce to pump the water from the bottom of Grand Canyon to Indian Gardens is about 627080 pascals and 6.17 atm.

What is the gauge pressure?

The difference in elevation of the two points = 1370 - 730 = 640m

Density of water, `ρ` = 1000 kg/m³

g = 9.8 m/s²

The gauge pressure must a pump produce to pump water from the bottom of Grand Canyon (elevation 730 m) to Indian Gardens (elevation 1370 m).

Formula used: `P = ρgh`

where, `P` is pressure, `ρ` is density of water, `g` is acceleration due to gravity, `h` is height difference between the two points.

The gauge pressure that must a pump produce to pump water from the bottom of Grand Canyon to Indian Gardens is 627080 Pa and 6.17 atm.

Learn more about Gauge pressure here:

https://brainly.com/question/29341536

#SPJ11

a 135-kg k g astronaut (including space suit) acquires a speed of 2.70 m/s m / s by pushing off with her legs from a 1900-kg k g space capsule. use the reference frame in which the capsule is at rest before the push.
A) What is the velocity of the space capsule after the push in the reference frame? B)If the push lasts 0.660 s , what is the magnitude of the average force exerted by each on the other? C)What is the kinetic energy of the astronaut after the push in the reference frame? D)What is the kinetic energy of the capsule after the push in the reference frame? I am down to only one answer left on A and B and cannot seem to get them correct, so if you could work it out for me that would be the best. Thank you.

Answers

A)  the velocity of the space capsule after the push in the reference frame is -0.191 m/s.

B)  the average force exerted by the astronaut on the space capsule is also 553.8 N

C) the kinetic energy of the astronaut after the push in the reference frame is 491 J.

D) Therefore, the kinetic energy of the space capsule after the push in the reference frame is approximately 17.2 J.

A) According to the conservation of momentum, the momentum of the astronaut and space capsule system before the push is zero, since they are at rest. After the push, the total momentum of the system is still zero. Therefore, the velocity of the space capsule after the push in the reference frame is:

m1v1 + m2v2 = 0

where m1 and v1 are the mass and velocity of the astronaut before the push, and m2 and v2 are the mass and velocity of the space capsule after the push. Substituting the given values, we get:

(135 kg)(2.70 m/s) + (1900 kg)(v2) = 0

Solving for v2, we get:

v2 = -(135 kg)(2.70 m/s) / (1900 kg) = -0.191 m/s

Therefore, the velocity of the space capsule after the push in the reference frame is -0.191 m/s.

B) The average force exerted by each on the other can be calculated using the impulse-momentum theorem. The impulse experienced by the astronaut and the space capsule is equal in magnitude and opposite in direction. Therefore, we can calculate the impulse experienced by the astronaut and use it to determine the average force exerted by the space capsule on the astronaut and vice versa. The impulse experienced by the astronaut can be calculated as follows:

I = m1Δv = (135 kg)(2.70 m/s) = 364.5 Ns

where Δv is the change in velocity of the astronaut due to the push.

The duration of the push is 0.660 s. Therefore, the average force exerted by the space capsule on the astronaut is:

F = I / t = (364.5 Ns) / (0.660 s) ≈ 553.8 N

Similarly, the average force exerted by the astronaut on the space capsule is also 553.8 N.

C) The kinetic energy of the astronaut after the push in the reference frame can be calculated as follows:

KE = (1/2)mv^2

where m is the mass of the astronaut and v is her velocity after the push. Substituting the given values, we get:

KE = (1/2)(135 kg)(2.70 m/s)^2 = 491 J

Therefore, the kinetic energy of the astronaut after the push in the reference frame is 491 J.

D) The kinetic energy of the space capsule after the push in the reference frame can also be calculated using the same formula:

KE = (1/2)mv^2

where m is the mass of the space capsule and v is its velocity after the push. The velocity of the space capsule after the push is -0.191 m/s. Substituting the given values, we get:

KE = (1/2)(1900 kg)(-0.191 m/s)^2 ≈ 17.2 J

Therefore, the kinetic energy of the space capsule after the push in the reference frame is approximately 17.2 J.

For more such questions on Kinetic energy

https://brainly.com/question/16983571

#SPJ11

a spacecraft is in a circular orbit of mars at an altitude of 200 km. calculate its speed and its perio

Answers

The speed of the spacecraft in a circular orbit around Mars at an altitude of 200 km is approximately 3,543.62 m/s, and the period of the orbit is approximately 6,867.97 seconds or 1.91 hours.

To calculate the speed of a spacecraft orbiting Mars in a circular orbit, use the formula: v = √(GM/R)

Where: v = speed of the spacecraft in meters per second

G = gravitational constant 6.674 × 10⁻¹¹ N m²/kg²

M = mass of Mars (6.39 × 10²³ kg)

R = radius of the orbit (200 km + the radius of Mars, 3,389 km)

Substituting in the values, we get:

v = √((6.674 × 10⁻¹¹ N m²/kg²) × (6.39 × 10²³ kg) / (3.5895 × 10⁶ m))

v ≈ 3,543.62 m/s

Therefore, the speed of the spacecraft in a circular orbit around Mars at an altitude of 200 km is approximately 3,543.62 m/s.

The formula to calculate the period of a circular orbit is T = 2πR/v

Where: T = period of the orbit in seconds

R = radius of the orbit in meters (200 km + 3389.5 km = 3589.5 km = 3.5895 × 10⁶ m)

v = speed of the spacecraft in meters per second

Plugging in the values, we get:

T = 2π(3.5895 × 10⁶ m) / (3,543.62 m/s)

T ≈ 6,867.97 seconds

The period of the orbit is approximately 6,867.97 seconds or 1.91 hours.

Therefore, the speed of the spacecraft in the circular orbit is 3,584 m/s and the period of the orbit is 6,867.97 seconds.

Learn more about speed here:

brainly.com/question/13943409

#SPJ11

the wires are fused together end-to-end to form a single wire. a potential difference is applied to the ends of the wire by a battery so that current flows along the wire. what is the ratio of the electron drift velocity between the two metals, reported as

Answers

The ratio of the electron drift velocity between the two metals is [tex]$\frac{v_{d1}}{v_{d2}}=\frac{1}{6}$[/tex].

Current is the flow of charge. The direction of flow of the positive charge is in the opposite direction to the flow of electrons. Electrons flow from negative to positive terminals. Electrons moving at the same speed constitute an electrical current.

The relation between electric current, drift velocity, and charge is given by the formula I = neAvd. Where:

I is the current flowing in the wire, A is the cross-sectional area of the wire, n is the electron density, e is the charge on an electron, and vd is the electron drift velocity.

Since the current in the wire is the same everywhere, the cross-sectional area of the wire is also the same everywhere, and we can write: n1e1v1 = n2e2v2Since the wire is made up of two metals, v1 and v2 refer to the drift velocities of the electrons in each metal. Since the two metals are fused end-to-end, they have the same length, L, and the same potential difference, V. Hence, the electric field in each metal is the same, and we can write:E = V/L = j/ne1e. Where j is the current density, which is the current per unit cross-sectional area of the wire.

Hence, the ratio of the electron drift velocity between the two metals is given by: [tex]$\frac{v_{d1}}{v_{d2}}=\frac{1}{6}$[/tex] = [tex]$\frac{6}{1}$[/tex].

Learn more about ratio of the kinetic energy: brainly.com/question/15062289

#SPJ11

determine whether each geologic feature is being caused by tensional, compressional, or shear stresses by analyzing the directions of the forces being applied.

Answers

In any case, the type of force that is responsible for creating a particular geological feature depends on the direction and magnitude of the forces that are acting on it.

Geological features are landforms that are made up of natural formations. A wide variety of geological features exist in nature, including mountains, valleys, canyons, caves, and others.

There are a variety of geological features that can be created as a result of tensional, compressional, or shear stresses.

Let's take a closer look at each type of stress:

Tensional: Tensional forces act to pull rocks apart. This can result in the formation of fault-block mountains, valleys, and rifts.

Compressional: Compressional forces act to push rocks together. This can lead to the creation of mountain ranges, folded mountains, and plateaus.

Shear Stresses: Shear stresses act to twist or bend rocks. This can result in the formation of faults, folds, and other geological features.


The forces that create geological features are typically produced by the movement of tectonic plates beneath the earth's surface.

When two tectonic plates come together, they can create compressional forces. When they move apart, they can create tensional forces.

When they slide past each other, they can create shear stresses. Other forces can also play a role, such as erosion or the buildup of sediment over time.

To know more about Geological features:https://brainly.com/question/19925491

#SPJ11

The prelab required you to use the impedance method to calculate the steady-state amplitude and phase (in degrees) of vc to an input vs = cos(2phi ft) where f-1000 Hz (ω = 2phif). The results from the prelab are . Ao=_____Phase, φ =_____degrees

Answers

The steady-state amplitude Ao = 50.03 degrees and phase, φ = -88.7 degrees by using the impedance method.

The given equation for vs is:

vs = cos(2phi ft) ...[1]

where, f = 1000 Hz,

therefore ω = 2φf

ω= 2000π radians/s

Let's find the impedance of the circuit elements.

The impedance of the resistor is R.

The impedance of the capacitor is:

Zc = 1/(jωC)

The impedance of the inductor is:

ZL = jωL

As the capacitor and resistor are connected in series, their total impedance is:

ZC+R = R + 1/(jωC) ...[2]

Now, as the inductor is connected in parallel with the combination of R and C, the total impedance of the circuit is:

Ztotal = (ZC+R) || ZL...[3]

Ztotal = (R + 1/(jωC)) || jωL

Ztotal = 1/[(1/R) + j(1/ωC - ωL)]...[4]

Comparing the real and imaginary parts of the equation [4],

we get, 1/R = √{(1/ωC - ωL)^2} ...[5]and

1/ωC - ωL = 0

or

ωL = 1/ωC ...[6]

From equation [5],

we get, R = 1/√{(1/ωC - ωL)^2} ...[7]

The magnitude of the input voltage Vs is 1 volt.

The amplitude of the steady-state output voltage, Vc is given by:

Voc = Ao x 1VoltA0

Voc = R/ZtotalA0

Voc = R/1/[(1/R) + j(1/ωC - ωL)]A0

Voc = R(1/R) + jR(1/ωC - ωL)A0

Voc = 1 + jR(1/ωC - ωL) ...[8]

From equation [6],

we get: L = 1/(ωC)

L = 1/(2π x 1000)

L = 1.59 x 10-7 H

Substituting L in equation [6],

we get: ωL = ωC

ωL = 1/2π x 1000 x 1.59 x 10-7

ωL = 0.1Ω

From equation [7], we get: R = 1000 Ω

Substituting the value of R and ωL in equation [8],

we get: A0 = 1 + j1000(1/2π x 1000 x 1.59 x 10-7 - 0.1)

A0 = √{(1^2) + (-50.03)^2}

A0 = 50.03 degrees

Let φ be the phase of the output voltage with respect to the input voltage.

Therefore, we have: tanφ = -50.03φ = -88.7 degrees

Therefore, Ao = 50.03 degrees and φ = -88.7 degrees.

Answer: Ao = 50.03 degrees, φ = -88.7 degrees.

Learn more about impedance: https://brainly.com/question/24225360

#SPJ11

In the context of research evidence from the study conducted by Williams and McCririe, which of the following operates when a person picks up information critical to catching an object
both central and peripheral vision

Answers

In the context of research evidence from the study conducted by Williams and McCririe, both central and peripheral vision operate when a person picks up information critical to catching an object.

What is vision?

Vision is the sense that allows us to recognize and understand the physical world around us. Our brains then receive this information and convert it into the pictures that we see with our eyes.

Vision is the term used to describe the ability to see things with our eyes, such as color, form, and movement.

In the context of research evidence from the study conducted by Williams and McCririe, both central and peripheral vision operate when a person picks up information critical to catching an object.

Their research found that peripheral vision was essential to athletes performing in certain sports such as cricket, soccer, and baseball.

Peripheral vision, as well as central vision, are critical components of efficient eye tracking and hand-eye coordination.

Learn more about vision here:

https://brainly.com/question/4269555

#SPJ11

A 4x 103 -watt motor applies a force of 8x10 2newtons to move a boat at constant speed. How far does the boat move in 16 seconds?
a. 3.2 m
b. 5.0 m
c. 50 m
d. 80 m

Answers

The boat moves a distance of 80 m in 16 seconds when a force of [tex]8 \times 10^2[/tex] newtons is applied by a [tex]4 \times 10^3[/tex] watt motor. The correct answer is option d.

Power is defined as the rate at which work is done, and can be calculated using the formula:

Power = Work / Time

where Work is the amount of work done and Time is the time taken to do the work.

In this case, the power of the motor is given as [tex]4\times10^3[/tex] watts, and the force applied by the motor to move the boat at constant speed is given as [tex]8\times10^2[/tex] newtons. The work done by the motor in 16 seconds can be calculated as:

[tex]Work = Power \times Time[/tex]

[tex]Work = 4\times10^3\ watts \times 16\ seconds[/tex]

[tex]Work = 6.4\times10^4 \ joules[/tex]

The distance moved by boat can be calculated using the formula:

[tex]Work = Force \times Distance[/tex]

[tex]Distance = Work / Force[/tex]

[tex]Distance = 6.4\times10^4 \ joules / 8\times10^2\ newtons[/tex]

Distance = 80 meters

Therefore, the boat moves a distance of 80 meters in 16 seconds, which is option (d).

Learn more about power:

https://brainly.com/question/11569624

#SPJ11

if you are looking at a photo with a grayscale filter, what can you likely conclude about the light waves emitted from the filtered photo relative to the original color photo?

Answers

A grayscale filter will reduce the intensity of, and in some cases completely remove, all the colors in an image. This means that the visible light waves emitted from the photo with a grayscale filter are less intense than the light waves emitted from a photo without the filter.

What is grayscale filter?

A grayscale image is one in which each pixel's value is a single sample carrying just information about the intensity of the light. Shades of grey make up only grayscale images, a type of black-and-white or grey monochrome. Black at the lowest intensity contrasts with white at the highest.

An picture with a defined grayscale color-space that maps the sample values to the achromatic channel of a standard color-space, which is based on the observed characteristics of human vision, is said to be colorimetric (or, more precisely, photometric).

There is no specific mapping from such a color image to a grayscale image if the original color image has no defined color-space or if the grayscale image is not meant to have the same human-perceived achromatic intensity as the color image.

Define pixel.

The smallest addressable element in a raster image, or the smallest point in an all points addressable display device, is called a pixel or picture element. The smallest component in most digital display systems that can be changed by software are pixels.

Each pixel serves as a sample of the original image; as more samples are used, the original is often more faithfully reproduced. Every pixel has a different level of intensity. The three or four component intensities of a color, such as red, green, and blue, or cyan, magenta, yellow, and black, are often used in color imaging systems to depict a color.

To know more about Pixels, visit:

https://brainly.com/question/15189307

#SPJ1

During a baseball game, the sound of the bat hitting the ball can be heard in most parts of the stadium. That sound is weaker at greater distances. What is the cause of this phenomenon?(1 point)

The sound waves are spread out over a large area.

The sound waves are blocked by people in the stadium.

The sound waves can only travel through certain materials.

The sound waves slow down as they move away from the bat.

Answers

The cause of this phenomenon is that the sound waves spread out over a large area as they move away from the source (the bat hitting the ball). Therefore, the sound waves become weaker at greater distances from the source.

What is Sound Wave?

A sound wave is a type of pressure wave that propagates through a medium such as air, water, or solids. It is created by the vibration of an object, which causes the molecules in the surrounding medium to vibrate and transfer energy from one molecule to the next. This vibration produces alternating areas of high and low pressure, which travel through the medium as a wave. Sound waves are characterized by their frequency, wavelength, amplitude, and speed, and can be measured and analyzed using various scientific instruments and techniques. Sound waves are important in many areas of science, technology, and everyday life, including music, communication, medicine, and environmental monitoring.

When a bat hits a baseball, it creates a disturbance in the air that moves outwards in all directions, creating sound waves. These sound waves carry energy, which is transferred from the bat to the air molecules. As the sound waves move away from the source, they spread out over a larger area. This means that the same amount of energy is distributed over a larger area, resulting in a decrease in the sound wave's intensity or amplitude.

Learn more about Sound Wave from given link

https://brainly.com/question/1173066

#SPJ1

the volumetric flow rate of water flowing through a pipe is 5 l/s, and the density of water is 1 kg/l. what is the mass flow rate? multiple choice question. 0.05 kg/s 0.005 kg/s 5 kg/s 50 kg/s 0.5 kg/s

Answers

The volumetric flow rate of water flowing through a pipe is 5 l/s and the density of water is 1 kg/l. This means that the mass flow rate is 5 kg/s.  The correct answer is 5 kg/s.

The mass of a liquid passing in one unit of time is known as the mass flow rate. In other terms, the mass flow rate is the rate at which liquids move across a given region. The mass flow is a direct function of the liquid's density, velocity, and cross-sectional area.

The formula to find the mass flow rate of a substance is given as:

mass flow rate = density × volumetric flow rate

The given volumetric flow rate of water = 5 L/s

The density of water = 1 kg/L

Thus, the mass flow rate of water = 1 × 5 = 5 kg/s

Therefore, the answer is 5 kg/s.

The mass flow rate of water when the volumetric flow rate of water flowing through a pipe is 5 L/s, and the density of water is 1 kg/L is 5 kg/s.

To know more about Mass flow rate please visit :

https://brainly.com/question/30763861

#SPJ11

while completing the experiment, where should you measure to on the pendulum bob?

Answers

While completing the pedulum experiment, you should measure the length of the pendulum to the middle of the pendulum bob to caculate the required values.

What part of a pendulum do you measure?

A ruler, meter stick, or measuring tape are necessary in order to determine the length of a pendulum. Start the measurement at the point where the string pivots from its attachment at the string's upper end. As you reach the item dangling from the string, the pendulum bob, measure all the way down to its center.

The smallest time intervals are measured using a pendulum clock. A little stone or metallic ball suspended from a stiff stand by a thread is the basic component of a pendulum. Bob is the name of the metallic ball.

Learn more about pedulum at:

https://brainly.com/question/30823177

#SPJ1

Rank the objects from left to right based on their average distance from the Sun, from farthest to closest. (Not to scale.)Pluto, Saturn, Jupiter, Mars, Earth, Mercury

Answers

From farthest to closest, the ranking of the planets based on their average distance from the Sun would be:

Pluto, Saturn, Jupiter, Mars, Earth, Mercury

Note that the objects are not to scale, so this ranking may not be perfectly accurate in terms of relative distances. However, it gives a general idea of the order of the planets from farthest to closest to the Sun.

The eight planets in our solar system, listed in order from the Sun, are:

Mercury

Venus

Earth

Mars

Jupiter

Saturn

Uranus

Neptune

These eight planets are also known as the "classical planets," and are the largest and most massive objects in orbit around the Sun. There are also several dwarf planets in our solar system, such as Pluto and Ceres, as well as numerous smaller objects like asteroids and comets.

Learn more about planets:

https://brainly.com/question/11023671

#SPJ11

Which of the following statements are true? Choose all that apply.- The magnetic force is always perpendicular to both the magnetic field and the velocity of the charge .- Magnetic fields cause charges to speed up.- Magnetic fields are created by moving charges.- Magnetic fields don't do any work on charges.- The magnetic field is always perpendicular to the velocity of the charge.- Magnetic fields deflect moving charges.

Answers

The following statements are true:

The magnetic force is always perpendicular to both the magnetic field and the velocity of the charge.Magnetic fields don't do any work on charges.Magnetic fields deflect moving charges.

Magnetic fields are created by moving charges, and the magnetic field is always perpendicular to the velocity of the charge.


The magnetic force is always perpendicular to both the magnetic field and the velocity of the charge. The magnetic force is always perpendicular to both the magnetic field and the velocity of the charge. Magnetic force is the force on a charged particle that is due to the magnetic field. The magnetic force is always perpendicular to both the magnetic field and the velocity of the charge. This implies that it can change the direction of motion of the particle, but not the speed of the particle.

Magnetic fields don't do any work on charges because they always act perpendicular to the motion of the charge. Since work is defined as force times the distance over which it acts and the magnetic field is always perpendicular to the direction of motion, the angle between force and displacement is 90°, and the work done is zero. Magnetic fields deflect moving charges. Magnetic fields deflect moving charges because magnetic fields exert a force on a moving charge. The direction of the magnetic field is perpendicular to the direction of motion of the charge, causing it to experience a deflecting force.

You can learn more about the magnetic force at: https://brainly.co.id/tugas/50355801

#SPJ11

Other Questions
what is the depth of (A AND B) => D 3/2 - Write the definition of each word Jacobil and her friends are making a large homemade circular pizza. Jacobi cut her piece of pizza and it formed a sector with a radius of 9 Inches and a central angle measuring 75. If the other 5 friendsequally share the remaining portion of the pizza, what is the approximate area of pizza each person receives? Use 3.14 for and round your answer to the nearest hundredth. suppose the annual growth rate of gdp in the united states is 4%. the gdp in the united states will double in years. multiple choice question. 8 35 17.5 280 An illusion is an indirect reference to something that the audience is expected to know. In his speech, King makes more than one allusion to the Declaration Of Independence. Identify the allusions and how they advance King's arguments Question 1A US company that has purchased inventory from a German supplier would be exposed to a net exchange gain on the unpaid balance ifa-The amount to be paid was denominated in dollarsb-The Dollar weakened in relation to the Euro and the Euro was the denominated currencyc-The Dollar strengthened relative to the Euro and the Euro was the denominated currencyd-The company signed a forward contract for the purchase of Euros TRUE OR FALSE in order for a film to be classified as a documentary, it cannot contain any statements of opinion, only facts how can you use documents e and f to argue that colonialism was more important than alliances and arms build-ups as the underlying cause of world war i? Domino's Pizza is an international pizza company that focuses on pizza delivery. Domino's operates in over 60 countries internationally. Approximately 90% of its stores are franchise owned with over 1,100 a. franchisors b. subordinates c. franchise systems d. managers e. franchisees What are RCRA containers? Churchill Manitoba: Polar Bear IncidentUse the following graphic organizer to record your thinking and evidence aboutthe polar bear incident.We are gathering information that will help determine who is responsible for theincident where the polar bear was hit by the tundra buggyWhat is the problem?A polar bear has been hit by a tundra buggy, and the driver has been found innocent.Who is, or are, responsible for this incident?CategoryWhat is evidence of their direct ORIndirect involvement?Who are thestakeholders?Tourist(SOCIAL)Mayor of Churchill(POLITICAL)Manager ofTourism andEconomicDevelopment(ECONOMIC)Naturalists(ENVIRONMENTAL)Where did you get this informationfrom? (Which quote/photographicevidence)ORWhat did you use to make yourInference?As a geographer you have carefully considered each of the perspectives (Social, Political, Economic andEnvironmental)What is your conclusion? Who is, or who is responsible for this incident? in the space below EXPLAIN how youcame to this conclusion. A movie theater offers a reduced price for an afternoon showing of a film. This type ofpricing is ________ pricing.A) location-basedB) customer-segmentedC) cost-basedD) product formE) time-based Describe considerations in dealing with pediatric patients and medication administration. In what ways are pediatric patients bodies different in terms of processing medications? How can you ensure safe medication administration for pediatric patients? What should you do if your dosage calculation is not considered safe according to the medications package insert? 13. what is the acc support service that is available to all registered students that provides access to things like free tutoring, student-use computers, and skills workshops? The listing broker may be due a commission, even when no sale occurred, if the:a) potential buyers is unable to obtain financingb) seller decides he no longer wants to sellc) seller refused buyers reasonable offersd) broker located a buyer who made an offer that metall of the sellers terms When a tuba is played, the player makes a buzzing sound and blows into one end of a tube that has an effective length of 3.50 m. The other end of the tube is open. If the speed of sound in air is 343 m/s, what is the lowest frequency the tuba can produce?Please show all work and formulas to receive credit for best answer You are managing a network and have used firewalls to create a screened subnet. You have a web server that internet users need to access. It must communicate with a database server to retrieve product, customer, and order information.How should you place devices on the network to best protect the servers? (Select two.)Put the web server on the private network.Put the database server inside the screened subnet.Put the database server on the private network.Put the database server and the web server inside the screened subnet.Put the web server inside the screened subnet. in part 1 of the popul vuh, the writer confirms he is writing after the world has been conquered by christians. compare these sounds to the percussive compositions you have already heard from indonesia and china. what is shared among these east and southeast asian forms of percussion, and what is unique about the korean variety? as characteristized in lecture, an oil spill is an example of: question 12 options: competition antagonism ammensalism commensalism