The ideal mechanical advantage is 5.
Here, we have value larger radius , R = 20 cm and smaller radius = 4 cm
So, as per the problem, mechanical advantage will be 20/4 = 5.
A wheel and axle must be permanently joined in order to be considered a simple machine, and the wheel must by definition have a bigger radius than the axle. A point on the wheel moves a distance of 2 R whereas a point on the axle moves a distance of 2 r when you turn the wheel through a full revolution, which likewise causes the axle to turn through a full revolution.
The force you apply F R times the distance the point moves equals the effort W required to move a point on the wheel through one full revolution. Work is energy, and since energy must be conserved, a point on the axle must be subjected to a larger force F r because it moves a shorter distance.
The mathematical relationship is:
W = Fr (subscript) ×2πr/θ =F r(subscript) ×2πR/θ
Where θ is the angle that the wheel is turned.
And therefore:
Fr(r in subscript) / FR(R in subscript) = R/r
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two students are sitting next to each other on chairs with wheels. They push each other and separate in opposite directions. The student with a mass of 48 kg moves to the left with a velocity of 1.8 m/s. How fast and in what direction does the other student with a 59-kg mass move?
The student with a 59-kg mass moves to the right with a velocity of 1.46 m/s.
What is law of conservation of momentum?According to the law of conservation of momentum, The overall momentum of two or more bodies acting on one another in an isolated system stays constant unless an external force is introduced.
The student with a mass of 48 kg moves to the left with a velocity of 1.8 m/s.
Let the student with a mass of 59 kg moves to the left with a velocity of v m/s.
As no external force applied,
48 kg × 1.8 m/s + 59 kg × v = 0
v = - 1.8 × (48/59) m/s
= - 1.46 m/s.
Hence, the velocity of the second bay is 1.46 m/s in right direct.
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What is the relationship between torque and force lever arm length?
Torque is produced by multiplying the length of a lever arm by the force acting perpendicular to the lever arm. There are two conceivable orientations for the scalar quantity torque: clockwise and anticlockwise.
What is the result of the force times the lever arm?A torque is created when a force is applied perpendicular to a lever arm. The lever arm or moment arm is the length that extends perpendicularly from the pivot point, or the centre of rotation, to the point at which the force is applied. A torque is always defined with reference to a pivot point.
How can torque be multiplied?A torque multiplier multiplies the torque applied to the bolt with each gearing level. For instance, a 5:1 torque multiplier will result in an output.For example, a torque multiplier with a 5:1 ratio will result in an output at the shaft that is five times the torque, but the speed will only be one fifth of the original since no energy can be created.
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A car at rest with respect to a building can be in motion with respect to another observer. True/False. Please explain your answer
a potential difference of 12 volts causes 2.0 x 10^ 20 electrons to pass a point in a wire in 1 minute calculate
1) the amount of the charge that passes the point in 1 minute ,given that the charge of each electron is 1.6 x10^-19
coulomb
2)electric current in the wire
3)resistance of the wire
Answer:
Q = N e total charge passing point
Q = 2.0E20 * 1.6E-19 coul = 32 coulombs
2) I = Q / t = 32 C / 60 s = .53 amps
3) R = V / i = 12 volts / .53 amps = 23 ohms
true/false
It is possible to view the Moon in first-quarter phase the day after a total lunar eclipse.
False. The Moon will typically appear in a crescent phase the day after a total lunar eclipse.
What is lunar eclipse?
A lunar eclipse is an astronomical event that occurs when the Moon passes directly behind the Earth into its umbra (shadow). During a lunar eclipse, the Earth blocks the light from the Sun from reaching the Moon.
The Moon, in turn, takes on a reddish hue as the Earth's shadow covers it. A lunar eclipse can only occur at Full Moon, when the Sun and Moon are in exact alignment with Earth in the middle. The Moon will usually appear larger than usual during a lunar eclipse, due to the reddish hue it takes on.
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2. Yvonne van Gennip of the Netherlands ice skated 10.0 km with an aver- age speed of 10.8 m/s. Suppose van Gennip erosses the finish line at her average speed and takes a huge bouquet of flowers handed to her by a fan. As a result, her speed drops to 10.01 m/s. If van Gennip's mass is 63.0 kg, what is the mass of the bouquet
The mass of the bouquet can be calculated using the equation m = F/a. Which is equal to 0.9kg.
Since van Gennip’s speed dropped from 10.8 m/s to 10.01 m/s after she took the bouquet, this indicates that a force was applied to her causing her to slow down.
The applied force can be determined by taking the difference between her final and initial momentum, which is p = mv.
Thus, the applied force can be calculated by F = Δp/Δt.
Plugging in the given values, the mass of the bouquet can be calculated as
m = F/a = (63.0 kg × (10.8 m/s - 10.01 m/s))/10.01 m/s² = 0.9 kg.
Therefore, the mass of the bouquet is 0.9 kg.
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What is the amount of torque produced if the angle between the force and the lever arm is zero?
The amount of torque produced if the angle between the force and the lever arm is zero is zero.
The formula for torque is:
Torque (τ) = Force (F) x Lever arm (r) x sin(θ)
This is because torque is defined as the product of force and the perpendicular distance from the line of action of the force to the axis of rotation. When the angle between the force and the lever arm is zero, the force is acting parallel to the lever arm, meaning that there is no perpendicular distance between the force and the axis of rotation, resulting in a torque of zero. In other words, the torque is zero when the force is applied in the same direction as the lever arm.
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According to table 1, which of the following materials is the poorest electrical conductor?
(A) Copper
(B) Aluminum
(C) Graphite
(D) Brass
Graphite: according to table 1, which of the following materials is the poorest electrical conductor.
What is conductor?
Conductor is an electrical device or material that is capable of allowing electric current to flow through it. It is used in a variety of applications ranging from wiring in buildings to the transmission of electricity over large distances.
Conductors are typically made from metals, such as copper and aluminum, but certain types of materials, such as semiconductors, can also act as conductors.
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a boy pushes forward a cart of groceries with the total mass of 45kg. What is the acceleration of the cart if the net force on the cart is
If the net force on the cart is 66.0 N, the acceleration of the cart is 1.46 m/[tex]s^{2}[/tex] .
How do you calculate mass given acceleration and force?The formula used in the second law of motion to explain the connections between force, mass, and acceleration is Mass + acceleration equals force. F = ma Calculating force in Newtons (N), mass in kilograms (kg), and acceleration in meters per second squared (m/s2) may all be done using this formula.
It is show that,
Mass of cart, m = 45 kg
Net force acting on cart, F = 66 N
Let a represent the rate of acceleration of the cart being pushed. Using Newton's second rule of motion, it can be calculated as follows:
F = ma
a = F/m
a = 66 N/45 Kg
a = 1.46 m/[tex]s^{2}[/tex]
So, the acceleration of cart is = 1.46 m/[tex]s^{2}[/tex] .
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How electrostatic induction differ from charging by friction
Explanation:
Electrostatic is a force between two non-conductors
while
Friction oppose the relative motion between two surface or object.
Select the correct answer. if you have a heat engine with a hot reservoir of 515 k and a cold reservoir of 190 k, what is the maximum possible thermal efficiency of the system?
a. 63.1%
b. 75.2%
c. 52.1%
d. 67.9%
The maximum possible thermal efficiency of the system is d. 67.9%.
By utilizing the physics of heat engines and Second Law of Thermodynamics, we can calculate that the maximum achievable efficiency of a heat engine with a hot reservoir at 515 k and a cold reservoir at 190 k is 67.9%.
This result serves as an upper limit for all practical engines, regardless of the specifics of their design or engineering capabilities.
Making this maximum efficiency is possible through improvements in technology and increased knowledge on thermodynamics and energy production.
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Answer: A.
63.1%
Explanation: edmentum
ANSWER NOW 100 POINTS!!
Allen rides his bike at a constant speed around a circular track. If the radius of the track is 45.0 m and Allen's centripetal acceleration is 5.0 m/s2, what is his tangential speed?
Answer:
a = v2/r, for an object moving with a constant speed, v, around a circle of radius, r. We will also verify that the direction of the acceleration vector is toward the center of the circle.
substitute your numbers into the formula
5.0 = v2/45.0
then cross multiply to get your final answer
Which of the following conditions should be met to make a process perfectly reversible?
Check all that apply.
(1) Any mechanical interactions taking place in the process should be frictionless.
(2) Any thermal interactions taking place in the process should occur across infinitesimal temperature or pressure gradients.
(3) The system should not be close to equilibrium.
1) Any mechanical interactions taking place in the process should be frictionless, to make a process perfectly reversible
What is mechanical interactions?
Mechanical interactions are physical forces that are used to affect the behavior of objects and materials. This can include contact forces such as friction, tension, and compression, as well as non-contact forces such as gravity, magnetism, and electric fields
Mechanical interactions can be used to cause objects to move, change shape, or experience a change in energy. These interactions can also be used to create, store, or transfer energy. Mechanical interactions are studied by engineers and scientists in multiple disciplines, and are used in many different applications, including the design of machinery, medical devices, and consumer products.
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A system that has a total change in entropy of 675 J/K and has received 243 J of heat energy will be at what temperature?
The required temperature of the system which has a certain entropy change and receives heat energy is 273.36 °C.
Given that,
The change in entropy of the system = 675 J/K
Heat energy = 243 J
Temperature of the system = ?
The temperature of the system is calculated below.
ΔS = ΔH/T
where,
ΔH is the heat energy
ΔS is the change in entropy of the system
T = ΔH/ΔS = 243/675 = 0.36 K
By converting temperature in kelvin to temperature in degrees centigrade, we get,
T = 273 + 0.36 = 273.36 °C
Thus, temperature of the system which has a certain entropy change and receives heat energy is 273.36 °C.
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hi, can someone explain each paragraph or rephrase each paragraphs for my reporting sana , thanks !
X-rays Ultraviolet rays are followed immediately by X-rays. Although they have a shorter wavelength than the UV, they are more energetic.
An X-ray tube is used to create X-rays. When quickly traveling electrons strike a metal object, they are released. Wilhelm Conrad Roentgen made the X-ray discovery in 1895.
The flesh can be penetrated by long wavelength X-rays, but not the bones. They assist doctors in viewing the inside of the body through X-ray imagery. They are helpful in identifying malignancies and bone fractures.
Even metals can be penetrated by short wavelength X-rays. They are applied in industry to check for flaws in welded joints.
All X-rays pose a risk because they have the potential to harm the body's healthy, functioning cells.
This is why exposure to X-rays on a regular basis should be avoided. Body tissues can be harmed by excessive X-ray exposure, which can also lead to cancer.
How are X-Rays created?To create images of the body, its organs, and other internal structures for diagnostic purposes, X-rays use external radiation. A "negative" type image is created when X-rays penetrate human structures and land on specially treated plates (similar to camera film) or digital media (the more solid a structure is, the whiter it appears on the film).
Different bodily components permit various amounts of the X-ray beams to pass through when the body is exposed to X-rays. The majority of the X-ray energy can pass through soft tissues in the body, including blood, skin, fat, and muscle, making them look dark gray on film or digital media. Few X-rays can penetrate dense soft tissue like a bone or a tumor.
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Which statements describe properties of stars? Check all that apply.
The properties of stars are: mass, age, distance, metallicity (chemical composition), variability and motion through space.
What is star?An astronomical object known as a star is made up of a bright plasma spheroid that is held together by gravity. The Sun is the star that is closest to Earth.
Other stars are also visible at night with the unaided eye, but because to their great distances from Earth, they appear as stationary points of light. Many of the brightest stars have names, and the most notable stars have been grouped into constellations and asterisms.
Star catalogues have been put out by astronomers that list the known stars and offer standardized stellar labels.
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Answer: Stars produce energy through nuclear fusion.
Stars are massive objects composed of gas.
Stars are composed primarily of hydrogen and helium.
P.S can I get the brainiest?
a skier of mass m starts from rest at the top of a solid sphere of radius r and slides down its frictionless surface. (a) aat what angle will the skier leave the sphere? (b) if friction were present, would the skier fl off at a freater or lesser angle?
A skier of mass m starts from rest at the top of a solid sphere of radius r and slides down its frictionless surface.
The net force on the skier in the radial direction must be equal to the centripetal force in order to sustain circular motion.
[tex]$F_{\mathrm{radial}}=\frac{m v^2}{r}$[/tex]where [tex]v[/tex] denotes the skier's tangential instantaneous speed. Gravity and the normal force are the two forces at work on the skier. While the gravitational force is constantly radially outward, the normal force is always dependent on the angle [tex]\theta[/tex]. Therefore, the net force in the radial direction is, if the skier is at an angle of [tex]\theta[/tex] down the sphere.
[tex]$F_{\text {radial }}=m g \cos \theta-N$[/tex]
where N is the normal force's magnitude. When these two equations are combined, we get,
[tex]$\frac{m v^2}{r}=m g \cos \theta-N$[/tex]
Using the principle of energy conservation, we now substitute v with values we already know. The loss of potential energy equals the increase in kinetic energy, which on a sphere is written as,
[tex]$\frac{1}{2} m v^2=m g r(1-\cos \theta)$[/tex]
As the skier begins at rest, there is no kinetic energy at the top of the sphere. After removing [tex]v^2[/tex], we are left with the equation,
[tex]$2 m g(1-\cos \theta)=m g \cos \theta-N$[/tex]
Quantifying the situation when the skier exits the sphere is the last aspect of the issue. We can see that when theta equals 0, we get N = mg, which means that the normal force acting on the skier precisely balances the force of gravity. N decreases as the skier descends the sphere's surface, balancing the equation until it equals zero at a certain angle. This occurs precisely when,
[tex]$2 m g(1-\cos \theta)=m g \cos \theta$[/tex]
The skier is no longer in contact with the sphere when the normal force acting on the skier is zero, as the sphere no longer exerts any force on the skier. This is assumed to be the prerequisite for the skier to leave the ground.
After calculating [tex]\theta[/tex], we have,
[tex]$2 m g=3 m g \cos \theta$[/tex]
[tex]$\Longrightarrow \theta=\cos ^{-1}(2 / 3) \approx 48.19^{\circ}$[/tex]
First, we can note that this response is unaffected by the physical parameters m, r, and g. No matter how heavy he is, how huge the sphere is, or how powerful gravity is, the skier will exit the sphere at the same angle.
However, we will discover from dimensional analysis that this independence is actually not all that remarkable. Consider the units of the variables we've provided,
[tex]$[m]=$ kilograms,$\quad[r]=$ meters,$\quad[g]=$ meters $\cdot$ seconds $^{-2}$[/tex]
Any algebraic statement containing m, r, and g cannot be transformed into a dimensionless quantity. As a result, we draw the conclusion that the solution to our problem cannot depend on these values as an angle is a dimensionless quantity.
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at the top of a pole vault, an athelete actually can do work pushing on the pole before releasing it. suppose the pushing force that the pole ecerts back on the athelete is given by F(x)=(1.5*10^2N/m)x-(1.9*10^2N/m^2)x2 acting over a distance of 0.20m. how much work is done on the athelete?
2.49 Joules have been performed on the athlete, in accordance with the provided statement.
What in science is a force?In science, the word "force" has a concrete meaning. At this point, referring to a force as a push or simply a yank is perfectly appropriate. An constituent does not "have in it" or "contain" a factor. A force is felt by one entity coming from another. The idea of a force encompasses both living and non-living entities.
You must incorporate the work expression because it is a vital part of Fdx.
Gained is
W = integral of ( 150x - 190 x 2 ) dx
= 75 x2 - 63.333 x3
So now...
work done = 75 *0.202 - 63.333 *0.203 = 2.49Joules
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what is the equation linking current, potential difference and voltage
Put your finger over P to compute power; this leaves I and V; hence, P = I x V.
What connection exists between voltage and potential difference?The quantity of current multiplied by the resistance equals the potential difference, which is the same as voltage. One Coulomb of charge uses one Joule of energy to move between two locations in a circuit, which is equal to a potential difference of one Volt.
What is a potential difference?Difference that might exist at all between the two points The amount of work required to move a unit positive charge along any path through one point to another without accelerating is referred to as the electric field.
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A vacuum tube diode consists of concentric cylindrical electrodes, the negative cathode and the positive anode. Because of the accumulation of charge near the cathode, the electric potential between the electrodes is not a linear function of the position, even with planar geometry, but is given by V(x) = Cx4/3 where x is the distance from the cathode and C is a constant, characteristic of a particular diode and operating conditions. Assume that the distance between the cathode and anode is 13. 6 mm and the potential difference between electrodes is 264 V.
(a) Determine the value of C. C = V/m4/3
(b) Obtain a formula for the electric field between the electrodes as a function of x. (Use your result from part(a). Use the following as necessary: x. ) Ex =_________.
(c) Determine the force on an electron when the electron is halfway between the electrodes. F = N
To determine the value of C, we can use the equation provided: V(x) = Cx^4/3, where x is the distance from the cathode. V(x) = C(13.6 mm)^4/3 = 264V. So, C = 264V / (13.6mm)^4/3
How do you obtain a formula for the electric field between the electrodes as a function of x?To obtain a formula for the electric field between the electrodes as a function of x, we can use the equation: Ex = -dV/dx
Substituting the equation for V(x) and the value of C obtained in part (a) into the equation:
Ex = -dV/dx = -(d/dx)(Cx^4/3) = -(4/3)Cx^(4/3)
How do you Determine the force on an electron?To determine the force on an electron when the electron is halfway between the electrodes, we can use the equation: F = qE
where q is the charge of the electron and E is the electric field at that point. Since the force on an electron is equal to the electric field multiplied by the charge of the electron, we can substitute the value of E obtained in part (b) and the charge of the electron, 1.6 x 10^-19 C, into the equation
F = qE = (1.6 x 10^-19 C) * (-(4/3)C
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Jessica is riding on a Merry-go-round on an outer horse that sits a distance of 8.0m from the center of the ride. Jessica’s sister, Julie, is on an inner horse located 6.0m from the ride’s center. The Merry-go-round turns once every 40 s. Explain which girl is moving with the greater linear speed.
Jessica's linear speed is faster.
We must first define linear speed in order to respond to the query.
How fast is linear motion?This is the tangential speed of an item moving in a circle. Given by the formula v = r,
r is the object's distance from the circle's center, and is its angular speed.
Given that Julie, Jessica's sister, is riding an inner horse that is placed 6.0 meters from the center of the merry-go-round and Jessica is riding an outside horse that is 8.0 meters away from the center of the ride. The merry-go-round is also rotating at a consistent speed.
Given that v = r and = constant for linear motion,
So, v ∝ r.
Therefore, the girl who was farther away from the merry-go-center round's would move at a faster linear rate.
Since
Julie is at r, and Jessica is at r' = 8.0 m "= 6.0 m.
Since
r' = 8.0 m > r and v r "= 6.0 m,
Jessica's thus has a faster linear speed.
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Pls I need answer please find the attached file is scanned image in PDF format I am not sure if you have any questions or concerns please visit the plug-in settings to determine how attachments are u still ther I need/not needed
Answer:
A. 35 °C
Explanation:
You want to know which of the temperatures 5, 10, 15, or 35 °C is most favorable to mosquito breeding.
BreedingMosquitos are nonfunctional below 50 °F (10 °C), and are lethargic at 60 °F (15.6 °C). They prefer 29 °C, and their breeding falls off at higher and lower temperatures.
Of the temperature choices offered, mosquitos would breed fastest at 35 °C.
Find the gravitational force between Jupiter and its natural satellite Callisto. The mass of Jupiter is
1.99 x 10^27 kg and the mass of Callisto is 1.08 x 10^23 kg. The distance between Jupiter and
Callisto is 1.88 x 10^9m.
The gravitational force between Jupiter and its natural satellite Callisto is 3.76×10∧21 Newton.
What exactly is the gravitational force?The attraction force that exists in between two masses is directly proportional to the product of their mass and is inversely related to the square of the distance between them, according to Newton's universal law of gravitation.
The mass of Jupiter is 1.99 x 10^27 kg
the mass of Callisto is 1.08 x 10^23 kg
By using the formula
F = G M1×M2/ r²
(G = 6.67×10∧-11 )
F = ( 6.67×10∧-11 ×1.99 x 10^27 × 1.08 x 10^23 ) / (1.88 x 10^9)²
F = (13.28×10∧39)/3.534×10∧18
F =3.76×10∧21 Newton.
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Select the correct answer. a thermodynamic system undergoes a process in which its internal energy decreases by 500 joules. at the same time, 220 joules of work is done on the system. what is the amount of heat transferred to or from the system?
a. 280 joules
b. 720 joules
c. -280 joules
d. -720 joules
e. 0 joules
The amount of heat transferred to or from the system is −720 J. The first law of thermodynamics states that U = Q + W
Where U is the change in the system's internal energy and W is the work performed on it. From the given, we obtain: U = 500 J W = 220 J.
Thus, = Δ − = −500 − 220 = −720 J
Which procedure results in a decrease in internal energy?A process is referred to as adiabatic if there is no heat exchange. This process must be adiabatic because the system's internal energy drops and it is an ideal gas.
Does the adiabatic process cause a decrease in internal energy?As a result, in adiabatic operations, the temperature of the gas rises as its volume decreases. This is due to the temperature shift being fueled by the gas's increased effort.
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Answer: D.
-720 joules
Explanation: plato :)
A coin placed 0.30 m away from the center of a rotating, horizontal turntable just begins to slip when its translational speed is 0.50 m/s. What is the coefficient of static friction between the coin and the turntable
According to the given statement The coefficient of static friction was found to be about 0.0850.
What is static friction ?Static friction is a force that prevents an item from moving. The friction encountered when persons attempt to move a stationary object on a surface without actually causing any relative motion between the body and the surface on which it is located.
The graph below depicts the turntable's constant maximum speed and the centripetal acceleration of the coin.
(a) The centripetal acceleration is caused by static friction.
(b) Using the diagram below,
mai^=fi^+nj^+mg(−j^)
Fy=0nmg, thus n=mg, and Fr=mrv2=f=n=mg
Then, \sμ=rgv²=(30.0cm)(980cm/s2)(50.0cm/s)²
=0.0850
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The complete question is -
A coin placed 30.0cm from the center of a rotating, horizontal turntable slips when its speed is 50.0cm/s. (a) What force causes the centripetal acceleration when the coin is stationary relative to the turntable? (b) What is the coefficient of static friction between coin and turntable?
A small cart on a 5.0-m long air track moves with a speed of 0.75 m/s. Bumpers at either end of the track cause the cart to reverse direction and maintain the same speed. Find the period and frequency of this motion.
The frequency of the cart's motion for a distance of 10.0 meters is 0.075 Hz (Hertz), which means the cart completes 0.0775 round trips per second.
1) Period (T):
The period (T) is the time taken for one complete round trip. The cart travels from one end to the other and back in one round trip.
T = (distance/speed)
T = (10.0 / 0.75 )
T = 13.33 seconds
So, the period of the cart's motion for a distance of 10.0 meters is approximately 13.33 seconds.
2) Frequency (f):
The frequency (f) is the number of complete round trips per unit time. It is the reciprocal of the period.
f = 1 / T
f = 1 / 13.33
f = 0.075 Hz
So, the frequency of the cart's motion for a distance of 10.0 meters is approximately 0.075 Hz (Hertz), which means the cart completes approximately 0.0775 round trips per second.
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A weight of 10 N hangs motionless from a spring. The spring is stretched 0.286 m from its original length. What is the force constant for the spring?
a-2.8 N/m
b-22 N/m
c-35 N/m
d-43 N/m
Answer:
C. -35N/m
Explanation:
Using Hooke's Law, we know that the elastic constant of a spring can be found with this formula:
[tex]F=-kx[/tex]
where:
[tex]F[/tex] is the force ( in Newtons)
[tex]k[/tex] is the constant ( in Newtons per meter)
[tex]x[/tex] is the extension ( in meters)
thus, by rearranging the formula we can get:
[tex]k=-\frac{F}{x}[/tex]
[tex]k = -\frac{10}{0.286}[/tex]
[tex]k=-34.96503N/m[/tex]
Rounding off the answer, we get -35N/m
A student gathered two boxes of the same size made of different materials: glass and clear plastic. She placed them on a windowsill in the sun for an hour, and then measured the temperature of the air in each box. What is the temperature of the air in this experiment
According to the given statement The temperature of the air in this experiment is dependent variable.
What do you mean by a material?Material refers to a thing that something else is made out of. Material can also refer to cloth or can be used to describe something that is made of matter and exists in the physical world. Material has many other senses as a noun and an adjective.
What is an example of a material?A material is any substance that an object is made from. Glass, chalk, paper, wax, water, air, clay and plastic are all different materials. All materials are made up of matter.
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600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever
would have been used with an effort arm of 12 meters and a load arm of 6 meters? (1 point)
O 100 J
0 72 J
O 50 J
O 600 J
Accounting for things like how many team members should be assigned to a task, how many resources are required, how many hours tasks will take and more.
Why is it necessary for the effort arm to be longer than the load arm?When the effort arm is longer than the load arm, there is a significant mechanical advantage.The lever is made up of two “arms”: The load arm (also known as the output arm) is the portion of the lever that is directly attached to the load. The effort arm (or applied force arm) is the section of the lever to which the effort, or input force, is applied.
A= W P = 1 , Where W represents the load and P represents the effort. So, if we utilize one fixed pulley to raise the weight, the effort required will be 50 k g w t in one direction.
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1/lambda = R (1/m^2 - 1/n^2) If m =1, in what range are the wavelengths calculated from the generalized formula shown above? and if m =3, in what range are the wavelengths calculated from the generalized formula shown above? microwave (1 to 10^-4m) infrared ( 10^-3 to 7*10^-7m) visible (7*10^-7 to 4*10^-7m) ultraviolet (4*10^-7 to 10^-8m) X rays (10^-8 to 10^-13m)
The range of wavelength when m = 3 is λ = 8.20 x 10-7 m to 18.7 x 10-7 m (this belongs to infrared radiations).
The wavenumber of hydrogen spectral series is 1/λ = R(1/m2 – 1/n2)
Rydberg constant, R = 1.097 x 107 m-1
1. When m = 1 and n = 2, 1/λ = 1.097 x 107 x (1/12 – ½2) = 0.822 x 107
Wavelength, λ = 1.215 x 10-7 m
When m = 1 and n = ∞
, 1/λ = 1.097 x 107 x (1/12 – 0) = 1.097 x 107
Wavelength, λ = 0.911 x 10-7 m
The range of wavelength when m = 1 is λ = 0.911 x 10-7 m to 1.215 x 10-7 m (this belongs to ultra-violet radiations)
2. When m = 3 and n = 4, 1/λ = 1.097 x 107 x (1/32 – 42) = 0.0533 x 107
Wavelength, λ = 18.7 x 10-7 m
When m = 3 and n = ∞
1/λ = 1.097 x 107 x (1/32 – 0) = 0.122 x 107
Wavelength, λ = 8.20 x 10-7 m
The range of wavelength when m = 3 is λ = 8.20 x 10-7 m to 18.7 x 10-7 m (this belongs to infra-red radiations)
In physics, the wavelength is the spatial duration of a periodic wave—the distance over which the wave's shape repeats. it is the gap between consecutive corresponding points of the same section on the wave, including two adjoining crests, troughs, or 0 crossings, and is a feature of each traveling wave and standing wave, as well as other spatial wave patterns. The inverse of the wavelength is known as the spatial frequency. Wavelength is normally exact by means of the Greek letter lambda (λ). The time period wavelength is also now and again implemented to modulated waves, and to the sinusoidal envelopes of modulated waves or waves fashioned with the aid of interference of several sinusoids.
Assuming a sinusoidal wave shifting at a set wave speed, the wavelength is inversely proportional to the frequency of the wave: waves with better frequencies have shorter wavelengths, and decreased frequencies have longer wavelengths.
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