In which direction is the centripetal acceleration directed on a particle that is moving along a circular trajectory?
Centripetal acceleration is always directed towards the center of the circular path in which the particle is moving. This inward direction ensures that
the particle constantly changes its velocity as it moves along the circular trajectory, even if its speed remains constant.
The centripetal acceleration is responsible for maintaining the particle's circular motion by continuously altering its direction.
To further understand this concept, consider these steps:
1. As the particle moves along the circular path, it has both a linear velocity (tangential to the circle) and an angular velocity (change in angle per unit time).
2. The centripetal force, acting perpendicular to the linear velocity, is responsible for the change in direction of the particle as it moves.
3. The centripetal acceleration is the result of this centripetal force acting on the particle. It is given by the formula: a_c = (v^2) / r, where a_c is the centripetal acceleration,
v is the linear velocity, and r is the radius of the circular path.
4. Since the centripetal acceleration is always directed towards the center of the circle, it ensures that the particle remains in its circular trajectory.
In conclusion, the centripetal acceleration is directed towards the center of the circular path in which a particle moves.
This inward direction enables the particle to maintain its circular motion by continuously adjusting its velocity.
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In the circuit shown, switch S is first pushed up to charge the capacitor. When S is then pushed down, the current in the circuit will oscillate at a frequency of:
The current in the circuit will have an oscillation frequency of = 318 Hz
For oscillating frequencies, the time period, amplitude, and wavelength are the three most crucial components. The difference between the oscillation's highest and minimum points is represented by its amplitude, which is measured in terms of time.
The following formula can be used to get the oscillating wave's frequency from the time period:
Frequency (f) = 1/Time period
Oceanic waves and sound both require a minimum physical distance to complete an oscillation cycle. The term "wavelength" refers to a physical measurement between two points at regular intervals. The number of events in one unit of time is known as the frequency (f). The frequency of periodic motion is the number of oscillations per unit of time.
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A battery delivering a current of 55.0 A to a circuit has a terminal voltage of 22.4 V. The electric power being dissipated by the internal resistance of the battery is 37 W. Find the emf of the battery.
The emf of the battery is 23.071 V.
What is emf?
The emf (electromotive force) is defined as the original potential applied across a circuit when there is no internal resistance.
The emf is given by the formula,
E=V+I*r
where E is the emf of the battery, V is the potential applied across the circuit, I is the current through the circuit and r is the internal resistance of the battery.
What is power?
The power is the product of the square of the current and the resistance. The formula of the power P for the internal resistance r is,
P=I^(2)*r
Given I=55.0 A and P=37 W, substitute I=55.0 A and P=37 W in the above formula and solve it to calculate r.
37 = (55.0)^2*r
r=37/ (55.0)^2
r=0.0122 ohm
Given V=22.4 V, substitute I=55.0 A, r=0.0122 ohm, and V=22.4 V in the formula of emf to calculate the value of emf.
E=22.4+(55.0)*(0.0122)
E=23.071 V
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A 500-turn solenoid is 8 cm long. When the current in this solenoid is increased from 0 A to th emagnitude of the induced EMG is 0.012 V. Find inductance
The inductance for a solenoid is 1.7 mH
What is Inductance?
It is the property of an electric conductor or circuit that causes an electromotive force to be generated by a change in the current flowing.
The formula for the inductance:
L = |e| / ( Δi / Δt )
Where,
L = inductance
e = induced emf = 0.012 V
Δi = change in current = 2.5-0 = 2.5 A
Δt = change in time = 0.35 s
Substituting the values in formula of Inductance,
L = 0.012 / ( 2.5/0.35 )
L = 1.7 * 10^-3 H
L = 1.7 mH
Hence
The inductance for a solenoid is 1.7 mH
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Your question is incomplete, but probably full question was:
A 500-turn solenoid is 8.0 cm long. When the current in this solenoid is increased from 0 to 2.5 A in 0.35 s, the magnitude of the induced emf is 0.012. Find the inductance.
A car is stopped at a traffic light. When the light turns green at t=0, a truck with a constant speed passes the car with a 20m/s velocity. The car uniformly accelerates to the velocity 35m/s in 20 seconds, the moves at a constant speed for 5 seconds. How long will it take for the car to catch up to the truck.
Answer:
At [tex]t = (70 / 3) \; {\rm s}[/tex] (approximately [tex]23.3 \; {\rm s}[/tex].)
Explanation:
Note that the acceleration of the car between [tex]t = 0\; {\rm s}[/tex] and [tex]t = 20\; {\rm s}[/tex] ([tex]\Delta t = 20\; {\rm s}[/tex]) is constant. Initial velocity of the car was [tex]v_{0} = 0\; {\rm m\cdot s^{-1}}[/tex], whereas [tex]v_{1} = 35\; {\rm m\cdot s^{-1}}[/tex] at [tex]t = 20\; {\rm s}\![/tex]. Hence, at [tex]t = 20\; {\rm s}\!\![/tex], this car would have travelled a distance of:
[tex]\begin{aligned}x &= \frac{(v_{1} - v_{0})\, \Delta t}{2} \\ &= \frac{(35\; {\rm m\cdot s^{-1}} - 0\; {\rm m\cdot s^{-1}}) \times (20\; {\rm s})}{2} \\ &= 350\; {\rm m}\end{aligned}[/tex].
At [tex]t = 20\; {\rm s}[/tex], the truck would have travelled a distance of [tex]x = v\, t = 20\; {\rm m\cdot s^{-1}} \times 20\; {\rm s} = 400\; {\rm m}[/tex].
In other words, at [tex]t = 20\; {\rm s}[/tex], the truck was [tex]400\; {\rm m} - 350\; {\rm m} = 50\; {\rm m}[/tex] ahead of the car. The velocity of the car is greater than that of the truck by [tex]35\; {\rm m\cdot s^{-1}} - 20\; {\rm m\cdot s^{-1}} = 15 \; {\rm m\cdot s^{-1}}[/tex]. It would take another [tex](50\; {\rm m}) / (15\; {\rm m\cdot s^{-1}}) = (10/3)\; {\rm s}[/tex] before the car catches up with the truck.
Hence, the car would catch up with the truck at [tex]t = (20 + (10/3))\; {\rm s} = (70 / 3)\; {\rm s}[/tex].
A penny has a mass of and the Moon has a mass of . Use this information to answer the questions below. Be sure your answers have the correct number of significant digits.
Mass of 1 mole of pennies is 1.506 × 10²¹ kg. 48.805 moles moles of pennies have a mass equal to the mass of the Moon.
What is the mass of one mole of pennies?Mass of one mole pennies= 6.023 × 10²³ × mass of one penny
= 6.023 × 10²³ ×0.0025 kg
= 1.506 × 10²¹ kg
How many moles of pennies are required to have a mass of the moon?No. of moles of pennies = mass of moon/mass of one mole of pennies 7.35 X 10²²/1.506 × 10²¹= 48.805 moles
Thus, we can conclude that the mass of 1 mole of pennies is 1.506 × 10²¹ kg and 48.805 moles moles of pennies have a mass equal to the mass of the Moon.
Disclaimer: The question was given incomplete on the portal. Here is the complete question.
Question: A penny has a mass of 2.50g and the Moon has a mass of 7.35 X 10^22kg. Use this information to answer the questions below.
A) What is the mass of 1 moIe of pennies? Round your answer to 3 significant digits.
B) How many moles of pennies have a mass equal to the mass of the Moon? Round your answer to 3 significant digits.
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Asymmetric dimethylarginine, endocan, pentraxin 3, serum amyloid A, soluble urokinase plasminogen activator receptor, total oxidant status and total antioxidant status, galectin-3
relationship between these inflammatory markers and infection.
What is Inflammatory markers ?Recognised inflammatory biomarkers play important roles in the management of patients with for example, diagnosis, follow-up, assessment of treatment response and risk stratification
Asymmetric dimethylarginine, endocan, pentraxin 3, serum amyloid A, soluble urokinase plasminogen activator receptor, total oxidant status and total antioxidant status, galectin-3 were considered among the emerging inflammatory markersWell-known inflammatory markers included complete blood count, C-reactive protein, albumin, cytokines and erythrocyte sedimentation rate.Learn more about Inflammatory markers here:
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A variable capacitor with a range from 12 to 279 pF is used with a coil to form a variable-frequency LC circuit to tune the input to a radio. (a) What is the ratio of maximum frequency to minimum frequency that can be obtained with such a capacitor
The ratio of maximum frequency and minimum frequency is 4.9.
Calculation:
The relation between frequency, f, and conductance, C and inductance, L is given as:
[tex]f = \frac{1}{2\pi \sqrt{LC} }[/tex]
Given,
Cmax = 279 pF
Cmin = 12 pF
The smaller value of C gives the the larger value of f, therefore,
[tex]fmax = \frac{1}{2\pi\sqrt{LCmin} }[/tex] ....(1)
[tex]fmin = \frac{1}{2\pi\sqrt{LCmax} }[/tex] .....(2)
Dividing both the equations (1) and (2):
[tex]\frac{fmax}{fmin} =\frac{\sqrt{Cmax} }{\sqrt{Cmin} }[/tex]
[tex]\frac{fmax}{fmin} = \frac{\sqrt{279} }{\sqrt{12} }[/tex]
[tex]= 4.9[/tex]
Hence, the ratio of maximum to minimum frequency is 4.9.
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A 6.0 mH inductor is in a circuit. At the instant the current is 5.0 A and its rate of change is 200 A/s, the rate with which the energy stored in the inductor is increasing is:
The rate with which the energy stored in the inductor is increasing at 6 Joule/s.
To find the answer, we need to know about the rate of change of energy in inductor.
What's the rate of change of energy of inductor?The energy stored in inductor (E)=(1/2)× L× I²The rate of change of energy (dE/dt) = L×I×(dI/dt)What's the rate of energy increased in the inductor, if rate of increasing current, L and I are respectively 200A/s, 6mH and 5 A respectively?Here , dI/dt = 200A/s, L=6mH, I = 5 ARate of energy increased= 6mH×5×200= 6 Joule/s
Thus, we can conclude that the rate of increasing energy is 6 Joule/s.
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Match each term with its definition.
malleability
metallic bond
alloy
ductility
electron sea theory
the bond formed when metal atoms
share many mobile electrons
metals bond to other metals by
sharing many "floating electrons
the ability of metals to be shaped by
hammering or pounding
the ability of metals to be formed into
wires
a mixture of the atoms of a metal with
another element
The correct matches are as follows:
malleability - the ability of metals to be shaped by hammering or poundingmetallic bond - the bond formed when metal atoms share many mobile electronsalloy - a mixture of the atoms of a metal with another elementductility - the ability of metals to be formed into wireselectron sea theory - metals bond to other metals by sharing many "floating electronsWhat are metals?Metals are elements which form positive ions by loss of electrons.
Metals are usually shiny, malleable and ductile.
Metal atoms combine are bonded to each other by metallic bonds.
Electron sea theory describe how mobile electrons surround positive atomic nucleus.
Alloys refer to a mixture of metals.
In conclusion, metal atoms form metallic bonds.
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Compared to other diffraction techniques, the advantage of x-ray diffraction is that it enables:____.
Compared to other diffraction techniques, the advantage of X-ray diffraction is that it enables determination of three - dimensional molecular structure.
Diffraction is described as the interference or bending of waves via an aperture or around the corners of an obstruction into the area that forms the geometric shadow of the obstruction or aperture.
A common method for determining the crystallinity and structure of solid samples is X-ray diffraction (XRD).
In conclusion, X-rays are scattered by the electrons of atoms present in the sample without changing their wavelength, which causes the crystal X-ray diffraction phenomena.
Some advantages of X-ray diffraction
1) It determines the three-dimensional molecular structure.
2) It is a quick and effective method for determining unidentified minerals and materials.
3) Only a little sample needs to be prepared for analysis.
4) The generated data can be interpreted very easily.
5) XRD measurement equipment is commonly accessible.
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If you want the ball to land in your hand when it comes back down, should you toss the ball straight upward, in a forward direction, or in a backward direction, relative to your body
Straight upward
the ball moves in the forward direction with your walking speed at all times. If you want the ball to land in your hand when it comes back down, you should toss the ball straight upward.
What is Projectile motion ?Projectile motion is the motion of an object thrown (projected) into the air.
After the initial force that launches the object, it only experiences the force of gravity. The object is called a projectile, and its path is called its trajectoryA projectile can be a thrown ball, a bullet or a springboard diver ... Except for air resistance, the forward velocity of any projectile is constant and is equal to the initial velocity when it was released.Learn more about Projectile motion here:
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A 25. 00 ml sample of acetic acid containing phenolphthalein indicator is titrated with 0. 1067 m naoh. The solution changes color after 30. 07 ml naoh has been added. What is the concentration of the acetic acid before titration?.
The concentration of the acetic acid:
The concentration of the acetic acid before titration is 0.128M
Reaction of phenolphthalein with NaOH:
The sodium hydroxide will start interacting with phenolphthalein as soon as enough sodium hydroxide has been added to the acetic acid such that there is no longer any unreacted acetic acid. Pink solution is produced when phenolphthalein and sodium hydroxide combine.
Calculation:
The balanced equation:
CH₃COOH + NaOH ⇒ CH₃COONa + H₂O
Given:
Quantity of NaOH = 0.1067 M
Volume of NaOH = 30.07 ml
= 30.07 / 1000
= 0.03007 L
For weak acid and strong base titration = Moles of acetic acid = moles of NaOH
Moles of NaOH = concentration X volume
0.1067 X 0.03007 = 0.0032
Thus, moles of acetic acid = 0.0032mole,
By employing the formula,
Concentration = Moles/Volume
= 0.0032/0.025
= 0.128M
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A rear window defroster consists of a long, flat wire bonded to the inside surface of the window. When current passes through the wire, it heats up and melts ice and snow on the window. For one window the wire has a total length of 11.0 mm, a width of 1.8 mmmm, and a thickness of 0.11 mmmm. The wire is connected to the car's 12.0 VV battery and draws 7.5 AA.
2.6×10[tex]^-8[/tex] Ωm,A long, flat wire is used as a rear window defroster and is bonded to the window's interior surface.
Resistivity of the wire ?Electrical resistivity is a measurement of a material's degree of resistance to current flow. The SI unit for electrical resistivity is the ohm meter (m). It is frequently represented by the Greek letter rho. Materials that easily transmit current and have a low resistance are called conductors.
Length of the wire, l = 12.2 m
width of the wire, w = 1.8 mm
Thickness of the wire, T = 0.11 mm
Potential difference of the battery, v = 12 V
Current in battery, I = 7.5 A
Ohms law says, V = IR.
So that, R = V/I
R = 12/7.5 = 1.6 Ω
The Greek letter rho is frequently used to represent resistance, which is numerically equivalent to the resistance R of a wire-like specimen, multiplied by its cross-sectional area A, and divided by its length.
Resistivity if a material is:
ρ = RA/l
ρ = [1.6 × 1.8 × 10[tex]^-3[/tex] × 0.11×10[tex]^-3[/tex]] / 12.2
ρ = (3.168×10[tex]^-7[/tex]) / 12.2
ρ = 2.596×10[tex]^-8[/tex]
Therefore, the resistivity of the wire is 2.60×10[tex]^-8[/tex] Ωm
Resistivity of the wire is 2.60*10^-8 Ωm
Given:
Length of the wire, I = 12.2 m
width of the wire, w = 1.8 mm
thickness of the wire, T = 0.11 mm
Potential difference of the battery, v = 12
Current in the battery, I = 7.5 A
To Find:
Resistivity
Solution: A characteristic property of each material, resistivity is useful in comparing various materials on the basis of their ability to conduct electric currents.
Remember, Ohms law says, V = IR
So that, RV/I
R = 12/7.5= 1.6 Q
Resistivity if a material is
p = RA/I
p = [1.6 * 1.8*10^-3* 0.11*10^-3] / 12.2
p = (3.168*10^-7)/12.2
p = 2.596*10^-8
Therefore, the resistivity of the wire is 2.60*10^-8 Ωm
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A bodybuilder deadlifts a 215 kg weight to a height of 0.90 m above the ground. If he deadlifts this weight 10 times in a span of 45 seconds, how much power has he exerted?
Group of answer choices
a. 8,530 W
b. 421 W
c. 853 W
d. 4,210 W
A bodybuilder deadlifts 215 kg to a height of 0.90 m. If he deadlifts this weight 10 times in 45 s, the power exerted is 421 W (b.)
What is power?In physics, power (P) is the work (W) done over a period of time.
Step 1. Calculate the work done by the bodybuilder each time.The bodybuilder lifts a 215 kg (m) weight to a height of 0.90 m (h). Being the gravity (g) of 9.81 m/s², we can calculate the work done in each lift using the following expression.
W = m × g × h = 215 kg × 9.81 m/s² × 0.90 m = 1.9 × 10³ N
Step 2. Calculate the work done by the bodybuilder over 10 times.W = 10 × 1.9 × 10³ N = 1.9 × 10⁴ N
Step 3. Calculate the power exerted by the bodybuilder.The bodybuilder does a work of 1.9 × 10⁴ N in a 45-s span.
P = 1.9 × 10⁴ N/45 s = 421 W
A bodybuilder deadlifts 215 kg to a height of 0.90 m. If he deadlifts this weight 10 times in 45 s, the power exerted is 421 W (b.)
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What are the consequences of the discovery of Airplanes?
Why is this discovery important?
Are there any negative/bad consequences?
Answer:
The use of airplanes also allows many people to acquire jobs in many different areas of aviation. The invention of the airplane led to new technologies, new ways of battle, modern warfare, and safer and more efficient travel. Space travel also would not have been possible without the idea of air travel.
Explanation:
7. A 78-kg skydiver has a speed of 62 m/s at an altitude of 870 m above the ground.
a. Determine the kinetic energy possessed by the skydiver.
b. Determine the potential energy possessed by the skydiver.
Determine the total mechanical energy possessed by the skydiver.
timore City Public fab
The kinetic energy, potential energy and total mechanical energy possessed by the skydriver are 1.5 × 10⁵ Joule, 6.7 × 10⁵ Joule and 8.2 × 10⁵ Joule respectively.
To find the answer, we need to know about the expression of kinetic energy and potential energy.
What are the expressions of kinetic energy and potential energy?Mathematically, kinetic energy= 1/2 × mass × velocity²Gravitational potential energy near the earth surface= mass × g × height on the earth surfaceWhat's the kinetic energy, potential energy and total mechanical energy of the 78kg skydriver at 870 m on earth surface with 62 m/s velocity?Kinetic energy= 1/2 × 78 × 62² = 1.5 × 10⁵ JoulePotential energy= 78×9.8×870= 6.7× 10⁵ JouleWhat's the total mechanical energy?Mechanical energy= kinetic energy+ potential energy 1.5 × 10⁵ Joule + 6.7× 10⁵ Joule = 8.2× 10⁵ JouleThus, we can conclude that the kinetic energy, potential energy and total mechanical energy possessed by the skydriver are 1.5 × 10⁵ Joule, 6.7 × 10⁵ Joule and 8.2 × 10⁵ Joule respectively.
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Sirius, the brightest star in the sky, is 2.6 parsecs (8.6 light-years) from Earth, giving it a parallax of 0.379 arcseconds. Another bright star, Regulus , has a parallax of 0.042 arcseconds. What is its distance in parsecs
Answer: Sirius, the brightest star in the sky, is 2.6 parsecs (8.6 light-years) from Earth, giving it a parallax of 0.379 arcseconds. Another bright star, Regulus, has a parallax of 0.042 arcseconds. Then, the distance in parsecs will be,23.46.
Explanation: To find the answer, we have to know more about the relation between the distance in parsecs and the parallax.
What is the relation between the distance in parsecs and the parallax?Let's consider a star in the sky, is d parsec distance from the earth, and which has some parallax of P amount.Then, the equation connecting parallax and the distance in parsec can be written as,[tex]d=\frac{1}{P}[/tex]
We can say that,[tex]dP=constant.\\thus,\\d_1P_1=d_2P_2[/tex]
How to solve the problem?We have given that,[tex]d_1=2.6 parsecs.\\P_1=0.379arcseconds.\\P_2=0.042 arcseconds.\\d_2=?[/tex]
Thus, we can find the distance in parsecs as,[tex]d_2=\frac{d_1P_1}{P_2} =23.46 parsecs[/tex]
Thus, we can conclude that, the distance in parsecs will be, 23.46.
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What force would require an 8-kg bowling ball to accelerate at a rate of 5 meters per second squared(m/s^2)?
Answer:
87 kph
Explanation:
A red light means to stop. If you are turning from a two-way road or onto a two-way road, then you are NOT allowed to turn
A red light means to stop. If you are turning from a two-way road or onto a two-way road, then you are NOT allowed to reverse your car If you can't do it
Red is typically used to indicate danger or warning, and on traffic lights, it indicates a potential hazard ahead and, as a result, serves as a signal for drivers to stop. If the traffic light turns red while you are already at a junction, you must move swiftly to the opposite side to avoid a potential accident with oncoming traffic.
If the traffic light has turned red as you approach the junction and you are just entering it, you must stop. Unless there is a sign clearly telling you not to turn left at the red light, you may do so. Give way to people and cars coming from other directions when turning.
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Answer: you are not allowed to turn left on a red light from a two way to a two way
Per professor trice's lecture, what has richard dyer written about stars?
Richard Dyer written about stars that a star must be represented simultaneously as, just like us (the audience/regular people), but also at the same time possess something we do not have and something that makes them special, different, extraordinary.
According to the question
Richard Dyer is a British media theorist, who discussed a star’s special place in the audiences’ lives.
He (similarly to Hall) suggests that a star’s meta-narrative impacts on the consumption by the audience. He argued that the star image is manufactured and artificial and that individual stars have their own unique selling point (brand values) in order to grab and hold our attention – for
example – Justin Bieber’s hair, JLS’ colour codes...
Hence, Richard Dyer written about stars that a star must be represented simultaneously as, just like us (the audience/regular people), but also at the same time possess something we do not have and something that makes them special, different, extraordinary.
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A mass m is attached to an ideal massless spring. When this system is set in motion, it has a period t. What is the period if the mass is doubled to 2m?.
If a mass m is attached to an ideal massless spring and has a period of t, then the period of the system when the mass is 2m is [tex]\sqrt{2}t[/tex].
Calculation:
Step-1:
It is given that a mass m is attached to an ideal massless spring and the period of the system is t. It is required to find the period when the mass is doubled.
The time it takes an object to complete one oscillation and return to its initial position is measured in terms of a period, or T.
It is known that the period is calculated as,
[tex]T=2 \pi \sqrt{\frac{m}{k}}[/tex]
Here m is the mass of the object, and k is the spring constant.
Step-2:
Thus the period of the system with the first mass is,
[tex]t=2 \pi \sqrt{\frac{m}{k}}[/tex]
The period of the system with the second mass is,
[tex]\begin{aligned}\\t^'&=2 \pi \sqrt{\frac{m}{k}}\\&=\sqrt{2}\times2 \pi \sqrt{\frac{2m}{k}}\\&=\sqrt{2}\times t\end{aligned}[/tex]
Then the period of the system with the second mass is [tex]\sqrt{2}[/tex] times more than the period of the system with the first mass.
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The maximum height a typical person can jump is about 60cm (0.6m). By how much does the gravitational potential energy increase for a 72kg person in such a jump? Where does this energy come from? (What do I have to find here?)
The gravitational potential energy will increase by 423.36 J
How to determine the potential energy at ground levelMass (m) = 72 kgAcceleration due to gravity (g) = 9.8 m/s²Height (h) = 0 mPotential energy at ground level (PE₁) =?PE = mgh
PE₁ = 72 × 9.8 × 0
PE₁ = 0 J
How to determine the potential energy at 60 cm (0.6 m)Mass (m) = 72 kgAcceleration due to gravity (g) = 9.8 m/s²Height (h) = 0.6 mPotential energy at 60 cm (0.6 m) (PE₂) =?PE = mgh
PE₂ = 72 × 9.8 × 0.6
PE₂= 423.36 J
How to determine the change in potential energy Potential energy at ground level (PE₁) = 0 JPotential energy at 60 cm (0.6 m) (PE₂) = 423.36 JChange in potential energy =?Change in potential energy = PE₂ - PE₁
Change in potential energy = 423.36 - 0
Change in potential energy = 423.36 J
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What is the average power supplied by a 60.0 kg secretary running up a 4.0 m tall flight of stairs in 4.2 s?
Group of answer choices
a. 670 W
b. 560 W
c. 610 W
d. 380 W
A 60.0 kg secretary running up a 4.0 m tall flight of stairs in 4.2 s has an average power of 560 W (Option b).
What is power?Power is the work done over a period of time.
A secretary with a mass (m) of 60.0 kg runs up a 4.0 m (d) tall flight of stairs. Given gravity (g) is 9.81 m/s², the work (W) done is:
W = m × g × d = 60.0 kg × 9.81 m/s² × 4.0 m = 2.35 × 10³ J
They do 2.4 × 10³ J of work in 4.2 s (t). The average power (P) is:
P = W / t = 2.35 × 10³ J / 4.2 s = 560 W
A 60.0 kg secretary running up a 4.0 m tall flight of stairs in 4.2 s has an average power of 560 W (Option b).
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A small water droplet in a mist of air is approximated as being a sphere of diameter 1.25 mil. Calculate the terminal velocity as it falls through still air to the ground.
The terminal velocity as it falls through still air is 4.65154 in/s.
The diameter of small water droplet is 1.25 mil= 1.25×0.0254×10^-3 m
= 3.175 × 10^-5 m
Now the viscosity of still air is η = 1.83× 10⁻⁵ Pa
So the formula for drag force is:
Fd = 6πηrv
where, v is the velocity.
Now to attain terminal velocity acceleration must be zero.
→ W = Fd
ρVg = 6πrηv
ρ × 4/3 πr³×g = 6πrηv
v = 2/9 × ρgr³/ η
v = 2/9 × 10³×9.81×(3.175×10^-3) / 18.6×10^-6
v = 0.1181 m/s
v = 4.65154 in/s
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Consider the elliptical orbit of a comet around the sun. where in its orbit is the comet moving the fastest?
Considering the elliptical orbit of a comet around the sun , the closer is the comet , the faster it will move .
Comets are thought to orbit the sun in either the Oort cloud or Kuiper belt. When another star passes by the solar system, its gravity pushes the Oort cloud and/or Kuiper belt and causes comets to descend toward the sun in a highly elliptical orbit with the sun at one focus of the ellipse. The closer is the comet , the faster it will move
It is been observed that comets motion is mostly get affected by sun's gravity. As a comet gets closer to the sun it moves faster and faster and as comet gets away from the sun , its speed get decreased. So, the comet should be as closer at it can be to the sun in order to move fastest
Here , it can be observed that comet's speed is inversely proportional to its distance from the sun.
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If the coefficient of friction between road and tires on a rainy day is 0.109, what is the minimum distance in which the car will stop
The car will halt at a minimum distance of 98.57 meters on a rainy day having a friction coefficient of 0.109.
Calculation of the minimum distance-
Provided that :
the speed of the car = 52 km/h= 52 x 0.278 m/s = 14.45 m/s
Friction coefficient, μ = 0.109the regular force exerted on the car,
[tex]F_{N} = mg[/tex]
Along X-direction, the force is
[tex]F_{x} = ma_{x}[/tex]
Friction acts in the opposite way along the x-axis
[tex]-f_{friction} = ma_{x}[/tex]
⇒-μ[tex]F_{N} = ma_{x}[/tex]
⇒-μmg = [tex]ma_{x}[/tex]
⇒[tex]a_{x} =[/tex] μg
Utilizing the motion equation-
v² = u²+ 2 .a. s
The final speed, v=0 m/s
⇒0² = (14.45)² - 2 μg .s
⇒2 * 0.109 *9.8 *s = (14.45)² = 208.8
⇒s = 208.8 / 2.14 = 97.57 m
It is concluded that the car will halt at a minimum distance of 98.57 meters.
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Sketch the path that light would take through the slit. Show the beams that are incident on and reflected from the mirror. Draw arrowheads to indicate the direction that light travels.
This is the path of light through slits.
what are incident light ?
The light that hits a topic is called as incident light. It may originate from an artificial source or from a natural source, like as the sun. Incident light is also light that reflects off a reflector or another surface.
what is light ?
The region of the electromagnetic spectrum that the human eye sees as light, or visible light, is composed of electromagnetic radiation. The Sun is the primary source of natural light on Earth. Fire has historically been a major source of light for people, from ancient campfires to modern kerosene lamps. Electric lighting has largely taken the place of firelight as a result of the development of electric lights and power systems.
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If p(a)=0.07692, p(b)=0.25, and probability of a and b. =0.01923, what is probability of a or b. to four decimal places? select one.
Answer:
p(a) * p(b) = .01923
p(b) = .01923 / .07692 = .2500
The probability of a or b will be equal to 0.30769.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The probability of the total sample points in A U B is P(A U B). The probabilities of sample points in A and B are now added together as P(A) + P(B). To get the total of probabilities in (A U B), which is P, we need to subtract once because we added the sample points in (A B) twice (A U B).
Given that p(a)=0.07692, p(b)=0.25, and probability of a and b. =0.01923. The probability will be calculated by using the formula below:-
P(A) = 0.07692
P(B)=0.25
P(A[tex]\cap[/tex]B) = 0.01923
P(AUB) = P(A) + P(B) - P(A[tex]\cap[/tex]B)
P(AUB) = 0.07692 + 0.25 - 0.01923
P(AUB) = 0.30769
Therefore, the probability of a or b will be equal to 0.30769.
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A bicyclist covers the first leg of a journey that is d1meters in t1seconds at a speed of v1m/s and the second leg of d2meters in t2seconds at a speed of v2m/sIf his average speed is equal to the average of v1 and v2
then which of the following is true?
1. t1=t2
2. t1≠t2
3. d1=d2
4. d1≠d2
According to motion in straight line t1≠t2
A biker travels d1 meters in t1 seconds at v1 m/s for the first leg and d2 meters in t2 seconds at v2 m/s for the second leg. It's possible that t1t2 if his average speed is equal to the average of v1 and v2.
An object is said to be in motion if its position in relation to its surroundings changes over time. It is a shift in an object's position over time. The only type of motion that exists is motion in a straight line.
A reference system is constantly used to describe a particle's motion. An arbitrary origin point is used to create a reference system, and a coordinate system is imagined to be connected to it. The reference system for a specific problem is the coordinate system that has been selected for it. For the majority of the problems, we typically select an earth-based coordinate system as the reference system.
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In a particular chemical reaction, the energy of the reactants is 30 kJ and the energy of the products is 5 kJ. The maximum energy of the system is 40 kJ.
Sketch a potential energy diagram for this reaction. Make sure to label the energy of the reactants, the energy of the products, the activation energy, and the enthalpy change for the reaction.
What is the activation energy for this reaction?
What is the enthalpy change for this reaction?
Is this reaction endothermic or exothermic? Explain your answer in two ways: first, using the energy values, and second, by referring to the shape of the graph.
The correct answer is Exothermic reaction and the values are follows: Activation energy = 10 kJ, enthalpy change = -25 kJ
Exothermic reactions are those in which the energy of the reactant is greater than the energy of the result. Heat is produced as a result of the entire energy being released, and this results in a negative response.
Given: The reactants' potential energy is 30 kJ
Products' potential energy is 5 kJ.
The system's maximum energy is 40 kJ.
The additional energy that must be provided to reactants in order for them to break through the energy barrier and transform into products is known as activation energy.
Maximum energy of the system - Potential energy of the reactants equals (40-30) kJ = 10 kJ, which is the activation energy.
Enthalpy change is equal to ((5-30) kJ= -25 kJ): Potential energy of the products - Potential energy of the reactants.
Exothermic reactionA process for which the overall standard enthalpy change (H) is negative is referred to as an exothermic reaction in thermochemistry. Typically, exothermic reactions produce heat. IUPAC defines exergonic reaction as "... a reaction for which the overall standard Gibbs energy change G is negative." The two terms are frequently mixed up. Since "H" significantly contributes to "G," a very exothermic process will typically also be exergonic. Exothermic and exergonic reactions make up the majority of the impressive chemical reactions that are presented in classrooms. The opposite is an endothermic process, which often produces heat and is fueled by a rise in system entropy. A chemical system's energy can be thought of as its enthalpy.
In a particular chemical reaction, the energy of the reactants is 30 kJ and the energy of the products is 5 kJ. The maximum energy of the system is 40 kJ.
Sketch a potential energy diagram for this reaction. Make sure to label the energy of the reactants, the energy of the products, the activation energy, and the enthalpy change for the reaction.
What is the activation energy for this reaction?
What is the enthalpy change for this reaction?
Is this reaction endothermic or exothermic reaction? Explain your answer in two ways: first, using the energy values, and second, by referring to the shape of the graph.
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