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NEET • PHYSICS • WORK-ENERGY-POWER

Work-energy-power practice · Mixed difficulty

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Showing 1-30 of 347 questions

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1 Easy

1 of 347

Application +4 | -1

{A}

ball is dropped on the ground from a height of

2 {~m}

. If the coefficient of restitution is 0.6 , the height to which the ball will rebound is

View answer and explanation

Correct option: A

0.72 {~m}

Option A (

0.72 {~m}

) is correct because the height of rebound is calculated using the coefficient of restitution formula.

2 Medium

2 of 347

Analyzing +4 | -1

A running man has the same kinetic energy as that of a boy of half his mass. The man speed up by

2\mathrm{\;m}{\mathrm{s}^{ - 1}}

and the boy changes his speed by

x = \mathrm{m}{\mathrm{s}^{ - 1}}

, so that the kinetic energies of the boy and the man are again equal. Then x in

\mathrm{m}{\mathrm{s}^{ - 1}}

View answer and explanation

Correct option: B

+ 2\sqrt 2

Option B (

+2\sqrt 2

) is correct because it is the value of x that makes the kinetic energies of the man and boy equal after the speed changes.

3 Medium

3 of 347

Application +4 | -1

A force

\mathrm{\vec F} = - K\left( {y\hat i + x\hat j} \right)

(where K is a positive constant) acts on a particle moving in the x-y plane. Starting from the origin, the particle is taken along the positive x-axis to the point (a,0) and then parallel to the y-axis to the (a,a). The total work done by the force

\mathrm{\vec F}

on the particle is

View answer and explanation

Correct option: C

- K{a^2}

Option C (

- K{a^2}

) is correct because the work done is path-dependent for this non-conservative force, and the integral along the specified path yields this result.

4 Hard

4 of 347

Application +4 | -1

A motor is used to deliver water at a certain rate from a given pipe. To obtain 3 times water from same pipe in same time, by what factor should power of the motor be increased.

View answer and explanation

Correct option: D

27 times

Option D (27 times) is correct because the power required is proportional to the cube of the flow rate, and the flow rate is tripled.

5 Medium

5 of 347

Analyzing +4 | -1

A body projected vertically from the earth reaches a height equal to earth’s radius before returning to the earth. The power exerted by the gravitational force is greatest

View answer and explanation

Correct option: C

At the instant just before the body hits the earth

Option C (At the instant just before the body hits the earth) is correct because power is the product of force and velocity, and the velocity is greatest just before impact.

6 Hard

6 of 347

Application +4 | -1

The speed limit of a car over a roadways bridge in the form of a vertical arc is

9.8\;\mathrm{m}{\mathrm{s}^{ - 1}}

. The diameter of the are is

View answer and explanation

Correct option: A

19.6 m

Option A (19.6 m) is correct because the diameter is calculated using the formula relating speed, radius, and the acceleration due to gravity at the highest point of the arc.

7 Medium

7 of 347

Application +4 | -1

Work done when a force,

\mathrm{\vec F} = \left( {\hat i + 2\hat j + 3\hat k} \right)

N acting on a particle takes it from the point

{\mathrm{\vec r}_1} = \left( {\hat i + \hat j + \hat k} \right)

m to the point

{\mathrm{\vec r}_2} = \left( {\hat i + \hat j + 2\hat k} \right)

View answer and explanation

Correct option: B

- 1\,J

Option D is incorrect. The correct answer is 3 J. The work done is calculated by taking the dot product of the force vector and the displacement vector.

8 Medium

8 of 347

Analyzing +4 | -1

Assertion (A): A body of mass "

\mathrm{m}_1

" collides another body of mass "

\mathrm{m}_2

" at rest elastically. The fraction of energy transferred to the second body is

\frac{m_1}{m_1+m_2}

Reason (R): In an "inelastic collision" both linear momentum and KE is conserved

View answer and explanation

Correct option: D

If both Assertion and Reason are false

Option D (If both Assertion and Reason are false) is correct because the assertion has an incorrect formula and the reason states that KE is conserved in inelastic collisions, which is false.

9 Medium

9 of 347

Analyzing +4 | -1

The force exerted by a compression device is given by

F(x)=k x(x-l)

for

0 \leq x \leq l

, where

l

is the maximum possible compression,

x

is the compression and

{k}

is a constant. The work required to compress the body by a distance

{d}

will be maximum when:

View answer and explanation

Correct option: D

d=l

Option D (

d=l

) is correct because the work required to compress the body is maximum when the compression is equal to the maximum possible compression.

10 Medium

10 of 347

Understanding +4 | -1

A body is revolving with a uniform speed v in a circle of radius

r

. The tangential acceleration is

View answer and explanation

Correct option: C

Zero

The correct answer is C. Tangential acceleration is the rate of change of tangential velocity. If the speed is uniform, the tangential acceleration is zero.

11 Medium

11 of 347

Remembering +4 | -1

According to work-energy theorem, the work done by the net force on a particle is equal to the change in its

View answer and explanation

Correct option: A

Kinetic energy

The correct answer is A (Kinetic energy) because the work-energy theorem states that the net work done on a particle equals the change in its kinetic energy.

12 Easy

12 of 347

Application +4 | -1

When a spring is compressed by 3 cm, the potential energy stored in it is U. When it is compressed further by 3 cm, the increase in potential energy is

View answer and explanation

Correct option: D

3 U

The correct answer is D. The potential energy stored in a spring is proportional to the square of the compression. Compressing it further by 3 cm results in a total compression of 6 cm, leading to a potential energy of 4U, so the increase is 3U.

13 Medium

13 of 347

Analyzing +4 | -1

Two masses

{M_A}

and

{M_B}

moving with velocities

{V_A}

and

{V_B}

in opposite direction collide elastically. After that the masses

{M_A}

and

{M_B}

moving with velocity

{V_B}

and

{V_A}

respectively. The ratio

\left( {{m_A}/{m_B}} \right)

View answer and explanation

Correct option: A

Option A (1) is correct because the given conditions imply that the masses are equal.

14 Easy

14 of 347

Understanding +4 | -1

Statement I When a machine-gun fires

n

bullets per second with kinetic energy

K

, then the power of the machine-gun is

P=n K

.

Statement II Power

=\frac{\text { Work }}{\text { Time }}=\frac{n k}{1}

View answer and explanation

Correct option: A

If both Statement I and Statement II are correct and Statement II is the correct explanation of Statement I.

Option A is correct because Statement I correctly defines the power of a machine gun firing bullets, and Statement II correctly explains the power calculation as work done per unit time.

15 Medium

15 of 347

Application +4 | -1

A body is projected at an angle

\theta

to the horizontal with kinetic energy

{E_k}

. The potential energy at the highest point of the trajectory is

View answer and explanation

Correct option: C

{E_k}{\sin ^2}\mathrm{\theta }

Option C (

{E_k}{\sin ^2}\mathrm{\theta }

) is correct because it is derived from the conservation of energy and the projectile motion principles.

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16 Medium

16 of 347

Analyzing +4 | -1

Select the correct alternative(s)
a) Work done by static friction is always zero
b) Work done by kinetic friction can be positive also
c) Kinetic energy of a system can not be increased without applying any external force on the system
d) Work energy theorem is valid in non-inertial frames also

View answer and explanation

Correct option: B

a, b, d

Option B (a, b, d) is correct because work done by static friction can be zero, work done by kinetic friction can be positive, and the work-energy theorem is valid in non-inertial frames.

17 Hard

17 of 347

Application +4 | -1

A ball falls from a height of 1 m on a ground and it loses half its kinetic energy when it hits the ground. What would be the total distance covered by the ball after sufficiently long time?

View answer and explanation

Correct option: A

Option A (3) is correct because the total distance is the sum of the initial drop and the infinite series of bounces, considering the energy loss at each impact.

18 Medium

18 of 347

Understanding +4 | -1

One end of a light spring of spring constant

k

is fixed to a wall and the other end is tied to a block placed on a smooth horizontal surface. In a displacement, the work done by the spring is

(1 / 2) k x^2

. The possible cases are

View answer and explanation

Correct option: A

the spring was initially compressed by a distance

x

and was finally in its natural length

The spring was initially compressed by a distance

x

and was finally in its natural length. The work done by the spring is positive when it returns to its natural length from a compressed state.

19 Medium

19 of 347

Application +4 | -1

The potential energy of a particle in a force field is

U = \frac{A}{{{r^2}}} - \frac{B}{r}

, where A and B are positive constants and r is the distance of particle from the centre of the field. For stable equilibrium, the distance of the particle is

View answer and explanation

Correct option: B

2A/B

Option B (2A/B) is correct because it is found by setting the derivative of the potential energy function to zero and solving for r.

20 Hard

20 of 347

Application +4 | -1

If potential energy is

U=3 x^2-2 x,

then force will be:

View answer and explanation

Correct option: A

\vec{{F}}=(-6 x+2) \hat{{i}}

Option A (

\vec{{F}}=(-6 x+2) \hat{{i}}

) is correct because the force is the negative derivative of the potential energy with respect to x.

21 Easy

21 of 347

Application +4 | -1

A body of mass 5 kg is revolving along a circle of a radius 3 m with a uniform speed of 6 m/s. The centripetal force acting on a body is

View answer and explanation

Correct option: D

60 N

Option D (60 N) is correct because the centripetal force is calculated using the formula

F = mv^2/r

, where m is the mass, v is the velocity, and r is the radius.

22 Medium

22 of 347

Analyzing +4 | -1

The potential energy of a particle varies with x according to the relation

U\left( x \right) = {x^2} - 4x

. The point x = 2 is a point of

View answer and explanation

Correct option: A

Stable equilibrium

Option A (Stable equilibrium) is correct because the second derivative of the potential energy is positive at x = 2.

23 Medium

23 of 347

Analyzing +4 | -1

A car is moving on a circular path and takes a turn. If

{R_1}\,and\,{R_2}

be the reactions on the inner and outer wheels respectively, then

View answer and explanation

Correct option: B

{R_1} < {R_2}

Option B (

{R_1} < {R_2}

) is correct because the outer wheels bear more weight due to the turning effect and the center of gravity shifting outwards.

24 Medium

24 of 347

Understanding +4 | -1

You lift a heavy book from the floor of the room and keep it in the book–shelf having a height 2 m. In this process you take 5 seconds. The work done by you will depend upon

View answer and explanation

Correct option: B

Weight of the book and height of the book-shelf

Option B (Weight of the book and height of the book-shelf) is correct because the work done against gravity depends on the weight and the vertical displacement.

25 Hard

25 of 347

Understanding +4 | -1

Assertion: Water at the foot of the water fall is always at different temperature from that at the top.
Reason: The potential energy of water at the top is converted into heat energy during falling.

View answer and explanation

Correct option: A

If both Assertion and Reason are true and Reason is the correct explanation of Assertion

Option A (If both Assertion and Reason are true and Reason is the correct explanation of Assertion) is correct because the potential energy at the top is converted into kinetic energy, which then converts to heat upon impact at the bottom.

26 Medium

26 of 347

Understanding +4 | -1

Work done by the gravitational force on a body of mass ‘m’ moving on a smooth horizontal surface through a distance ‘s’ is.

View answer and explanation

Correct option: C

Option C is correct because the gravitational force acts vertically, and the displacement is horizontal, making the work done zero.

27 Easy

27 of 347

Understanding +4 | -1

A particle moving with uniform speed in a circular path maintains:

View answer and explanation

Correct option: C

Varying velocity and varying acceleration

Option C (Varying velocity and varying acceleration) is correct because in circular motion, the direction of velocity and acceleration continuously changes, even if the speed is uniform.

28 Hard

28 of 347

Understanding +4 | -1

Assertion: There is no loss in energy in elastic collision
Reason: Linear momentum is conserved in elastic collision

View answer and explanation

Correct option: B

If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion

Option B (If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion) is correct because both statements are true, but conservation of linear momentum doesn't directly explain why there is no loss of energy.

29 Easy

29 of 347

Understanding +4 | -1

Which of the following is true?

View answer and explanation

Correct option: C

Momentum is conserved in all collisions but not kinetic energy.

Option C is correct because momentum is always conserved in all types of collisions, but kinetic energy is only conserved in elastic collisions.

30 Medium

30 of 347

Understanding +4 | -1

If a particle is compelled to move on a given smooth plane curve under the action of given forces in the plane

\mathbf{\vec F} = x\hat i + y\hat j

, then

View answer and explanation

Correct option: A

\mathbf{\vec F}.\overrightarrow {\mathbf{dr}} = x\,\,dx + y\,\,dy

Option A is correct because the dot product of the force and displacement vectors equals xdx + ydy, representing the work done by the force.

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Key Takeaways

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