When a car is moving at a speed v in a straight line the total force opposing its motion is F. The product Fv is a measure of the A. power developed by the car. B. rate of change of momentum of the car. C. work done by the car against the frictional forces. D. rate of change of kinetic energy of the car.

A. power developed by the car.

An object of mass m_{1} has a kinetic energy K_{1}. Another object of mass m_{2 }has a kinetic energy K_{2} . If the momentum of both objects is the same, the ratio K_{1}/K_{2} is equal to

A. m_{2}/m_{1}

B. m_{1}/m_{2}

C. (m_{2}/m_{1})^{1/2}

D. (m_{1}/m_{2})^{1/2}

A. m_{2}/m_{1}

Which one of the following units is a unit of energy?

A. eV

B. W s^{−1}

C. W m^{−1}

D. Nms^{-1}

A. eV

A rocket is fired vertically. At its highest point, it explodes. Which one of the following describes what

happens to its total momentum and total kinetic energy as a result of the explosion?

Total Momentum Total Kinetic Energy

A. unchanged increased

B. unchanged unchanged

C. increased increased

D. increased unchanged

A. total momentum is unchanged and total kinetic energy increases

The graph below shows the variation with displacement d of the force F applied by a spring on a cart.

The work done by the force in moving the cart through a distance of 2 cm is

A. 10 x 10^{-2 }J

B. 7 x 10^{-2}J

C. 5 x 10^{-2}J

D. 2.5 x 10^{-2 }J

C. 5 x 10^{-2}J

Which of the following quantities are conserved in an inelastic collision between two bodies?

Total linear momentum Total kinetic energy on the bodies on the bodies

A. yes yes

B. yes no

C. no yes

D. no no

B. total linear mometum is the only one conserved in an inelastic collision between two bodies

The diagram below shows the variation with displacement x of the force F acting on an object in the direction of the displacement.

Which area represents the work done by the force when the displacement changes from to x_{1} to x_{2}?

A. QRS

B. WPRT

C. WPQV

D. VQRT

D. VQRT

An engine takes in an amount E of thermal energy and, as a result, does an amount W of useful work. An amount H of thermal energy is ejected. The law of conservation of energy and the efficiency of the engine are given by which of the following?

Law of conservation of energy Effieciency

A. E= W + H W

B. E= W + H W/E

C. E + H = W W/H

D. E + H + W W/(E - H)

B. law of conservation of energy is represented by E = W + H, and effieciency is represented by W/E

A machine lifts an object of weight 1.5 x 10^{3} N to a height of 10 m. The machine has an overall efficiency of 20 %. The work done by the machine in raising the object is

A. 3.0 x 10^{3}J

B. 1.2 x 10^{4}J

C. 1.8 x 10^{4}J

D. 7.5 x 10^{4}J

D. 7.5 x 10^{4}J

Joe is standing on the surface of a frozen pond and he throws a ball horizontally. Considering Joe and the ball together, which one of the following correctly describes the change in the magnitude of the

momentum and the change in the kinetic energy of Joe and the ball immediately after the ball is thrown?

__Magnitude of momentum__ __Kinetic energy of __ __of Joe and ball__ __Joe and ball__

A. no change increases

B. increases increases

C. no change no change

D. increases no change

A. The is no change in magnitude of momentum of Joe and the ball, but the kinetic energy of Joe and the ball increases

The variation with time of the vertical speed of a ball falling in air is shown below.

During the time from 0 to T, the ball gains kinetic energy and loses ∆E_{p} gravitational potential energy. Which of the following statements is true?

A. ∆E_{p} is equal to the gain in kinetic energy.

B. ∆E_{p} is greater than the gain in kinetic energy.

C. ∆E_{p} is equal to the work done against air resistance.

D. ∆E_{p} is less than the work done against air resistance.

B.The change in gravitational potental energy is greater than the gain in kinetic energy.

The diagram below represents energy transfers in an engine.

The efficiency of the engine is given by the expression

A. E_{w}/E_{in}

B. E_{w}/E_{out}

C. E_{out}/E_{in}

D. E_{out}/E_{w}

C. efficiency is the energy put out over the energy in

An object of mass m is initially at rest. An impulse I acts on the object. The change in kinetic energy of the object is

A. I^{2}/2m

B. I^{2}/m

C. I^{2}m

D. 2I^{2}m

A. The change in kinetic energy is equal tothe impulse squared divided by 2 time the mass

The graph below shows the variation with displacement d of the force F acting on a particle

The area that represents the work done by the force between d = 0 and d = d_{max} is

A. s − r.

B. r.

C. s.

D. s + r.

D. s + r

A spring is compressed by a force F.

For a compression e, the force F is given by F = ke. When the compression force is removed, the spring returns to its original length in time t. The best estimate for the power developed by the spring

during its expansion is

A. ke/2t

B. ke/t

C. ke^{2}/2t

D. ke^{2}/t

C. ke^{2}/2t

A force stretches a wire that is fixed at one end. The value of this force increases from zero to a

maximum value and then returns to zero. The graph below shows the variation with force F of the extension x of the wire.

Which area, or areas, represents the net work done on the wire by the force?

A. Area P

B. Area Q

C. Area R

D. Area Q and area R

B. Area Q

A body moving along a straight-line has mass 3.0 kg and kinetic energy 24J. The motion is then opposed by a net force of 4.0 N. The body will come to rest after travelling a distance of

A. 2.0 m.

B. 6.0 m.

C. 8.0 m.

D. 12 m.

B. 6.0m

Two objects collide inelastically. For this system of two objects

A. only momentum is conserved.

B. only kinetic energy is conserved.

C. both momentum and kinetic energy are conserved.

D. neither momentum nor kinetic energy are conserved.

A. Only momentum is conserved

An object of weight 50 N is dragged up an inclined plane at constant speed, through a vertical height of 12 m. The total work done is 1500 J. The work done against friction is

A. 2100 J.

B. 1500 J.

C. 900 J.

D. 50 J.

C. 900 J

The graph below shows the variation with load F of the length L of a spring.

Which of the following expressions gives the force per unit extension (the spring constant) of

the spring?

A. F_{1}/L_{1}

B. F_{2}/L_{2}

C. (F_{2}-F_{1})/L_{2}

D. (F_{2}-F_{1})/(L_{2}-L_{1})

D. The spring constant is the second force subtracted by the first force divided by the second lenght divided by the first length.

The graph below shows the variation with displacement x of the force F acting on an object. The force F always acts in the same direction as the displacement.

At point Q, the displacement is x_{Q} and the force is F_{Q}.

Which of the following gives the work done by the force on the body as the displacement increases from zero to x_{Q} and then returns to zero?

A. Zero

B. 1/2F_{Q}x_{Q}

C. F_{Q}x_{Q}

D. 2F_{Q}x_{Q}

A. Zero

Water flows out from a tank down a pipe, as shown below

The pipe is always full of water. Which of the following gives the change in the kinetic energy and in the gravitational potential energy

of the water as the water flows down the pipe?

__kinetic energy__ __gravitational potential energy__

A. constant decreases

B. constant increases

C. increases decreases

D. increases increases

A. the kinetic energy will stay constant while the gravitational potential energy will decrease

Engine X is stated to be more powerful than engine Y.

Which of the following is the correct comparison of the engines?

A. Engine X produces a larger force than engine Y.

B. Engine X produces more useful energy than engine Y.

C. Engine X produces more useful energy per unit time than engine Y.

D. Engine X produces more power for a longer time than engine Y

C. Engine X produces more useful energy per unit time than engine Y.

An elevator (lift) of mass m is raised vertically with constant speed v for a time t. The work done on

the elevator during this time is

A. mgv.

B. mgvt.

C. mgv/t

D. mgt/v

B. mgvt

A force of magnitude F_{1} accelerates a body of mass m from rest to a speed v. A force of magnitude F_{2} accelerates a body of mass 2m from rest to a speed 2v. The ratio work done by F_{2}/ work done by F_{1} is

A. 2.

B. 4.

C. 8.

D. 16.

C. 8

A weight is suspended from a spring. The variation with weight of the length of the spring is shown below.

What is the value of the spring constant (force constant) of the spring?

A. 0.4 N cm^{-1}

B. 0.5 N cm^{-1}

C. 2.0 N cm^{-1}

D. 2.5 N cm^{−1}

C. 2.0 N cm^{-1}

The point of action of a constant force F is displaced a distance d. The angle between the force and the direction of the displacement is θ , as shown below.

Which one of the following is the correct expression for the work done by the force?

A. Fd sinθ

B. Fd sinθ

C. Fd cosθ

D. Fd tanθ

C. Fd cosθ

Which one of the following is a true statement about energy?

A. Energy is destroyed due to frictional forces.

B. Energy is a measure of the ability to do work.

C. More energy is available when there is a larger power.

D. Energy and power both measure the same quantity.

B. Energy is a measure of the ability to do work.

A body of mass m and speed v has kinetic energy E_{K} . A second body of mass m/2 moves at speed 2v. The kinetic energy of this second body is

A. E_{K}/2

B. E_{K}

C. 2E_{K}

D. 4E_{K}

C. 2E_{K}

A box of mass m is moved horizontally against a constant frictional force f through a distance s at constant speed v. The work done on the box is

A. 0.

B. mgs.

C. 1/2 mv^{2}

D. fs

D. The work done is the force multiplied by the distance.