Work, Energy, and Power — DPP 3

20 NEET questions from Work, Energy, and Power, with answers and explanations. Attempt it as a timed test to get scoring, accuracy breakdown and mistake tracking.

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1
A box of mass 1 kg is pulled on a horizontal plane of length 1 m by a force of 8 newtons then it is raised vertically to a height of 2 m , the net work done is:
  1. A 28 joule
  2. B 8 joule
  3. C 18 joule
  4. D 20 joule
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Correct answer: A

2
A force F acting on a particle varies with the position x as shown in the graph. Find the work done by the force in displacing the particle from x = -a to x = +2a
Work, Energy, and Power – NEET-6719
  1. A $\frac { 3 a b } { 2 }$
  2. B 2ab
  3. C $\frac { 2 a b } { 3 }$
  4. D $\frac { a b } { 2 }$
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Correct answer: A

3
A block of mass 5 kg initially at rest at the origin is acted upon by a force along the positive X – direction represented by F = (20 + 5x) N. Calculate the work done by the force during the displacement of the block from x = 0 at x = 4 m
  1. A 100 J
  2. B 150 J
  3. C 120 J
  4. D 75 J
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Correct answer: C

4
A body is displaced from (0, 0) to (1 m, 1 m) along the path x = y by a force $F = \left( x ^ { 2 } \hat { j } + y \hat { i } \right) \mathrm { N }$. The work done by this force will be
  1. A $\frac { 4 } { 3 } \mathrm {~J}$
  2. B $\frac { 5 } { 6 } \mathrm {~J}$
  3. C $\frac { 3 } { 2 } \mathrm {~J}$
  4. D $\frac { 7 } { 5 } \mathrm {~J}$
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Correct answer: B

5
A body starts from rest and is acted on by a constant force. The ratio of kinetic energy gained by it in the first five seconds to that gained in the next five seconds is
  1. A 2 : 1
  2. B 1 : 1
  3. C 3 : 1
  4. D 1 : 3
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Correct answer: D

6
A force of 10 N acts on a 10 kg body initially at rest. The work done by the force during the first 5 second and 5th second of motion of body are (in joule)
  1. A 3, 1.5
  2. B 9, 4
  3. C 11.5, 5
  4. D 125, 45
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Correct answer: D

7
A lawn roller is pulled along a horizontal surface through a distance of 20 m by a rope with a force of 200 N. If the rope makes an angle of 60º with the vertical while pulling, the amount of work done by the pulling force is
  1. A 4000 J
  2. B 1000 J
  3. C 2000√3
  4. D 2000 J
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Correct answer: C

8
A body of mass 4 kg is thrown upward with a velocity of 40 m/s. It comes to rest after attaining maximum height of 30 m. How much energy is lost due to air friction?
  1. A 2000 J
  2. B 118 J
  3. C 1800 J
  4. D 1810 J
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Correct answer: A

9
The mass of a simple pendulum bob is 100 gm . The length of the pendulum is 1 m . The bob is drawn aside from the equilibrium position so that the string makes an angle of $60 ^ { \circ }$ with the vertical and let go. The kinetic energy of the bob while crossing its vertical position will be (Use g = 9.8 m/s$^{2}$)
  1. A 0.49 J
  2. B 0.94 J
  3. C 1 J
  4. D 1.2 J
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Correct answer: A

10
A force $\vec { F } = ( 6 \hat { i } - 8 \hat { j } ) N$, acts on a particle and displaces it over 4 m along the X-axis and then displaces it over 6 m along the Y-axis. The total work done during the two displacements is
  1. A 72 J
  2. B 24 J
  3. C -24 J
  4. D Zero
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Correct answer: C

11
Potential energy is defined
  1. A Only in conservative fields
  2. B As the positive of work done by conservative forces
  3. C As the negative of workdone by external forces when $\Delta K = 0$
  4. D All of these
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Correct answer: A

12
A force $\vec { F } = ( 3 \hat { i } + 4 \hat { j } ) \mathrm { N }$ acts on a particle moving in x-y plane. Starting from origin, the particle first goes along x-axis to the point (4, 0) m and then parallel to the y -axis to the point (4, 3) m. The total work done by the force on the particle is
Work, Energy, and Power – NEET-6610
  1. A + 12 J
  2. B - 6 J
  3. C + 24 J
  4. D - 12 J
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Correct answer: C

13
A particle of mass 0.5 kg is displaced from position $\vec { r } _ { 1 } ( 2,3,1 )$ to $\vec { r } _ { 2 } ( 4,3,2 )$ by applying a force of magnitude 30 N which is acting along $( \hat { \mathrm { i } } + \hat { \mathrm { j } } + \hat { \mathrm { k } } )$. The work done by the force is
  1. A $10 \sqrt { 3 } \mathrm {~J}$
  2. B $30 \sqrt { 3 } \mathrm {~J}$
  3. C 30 J
  4. D 10 J
Show answer

Correct answer: B

14
A tank of size 10 m × 10 m × 10 m is full of water and built on the ground. If g = 10 ms$^{–2}$, the potential energy of the water in the tank is
  1. A 5 × 10$^{7}$ J
  2. B 1 × 10$^{8}$ J
  3. C 5 × 10$^{4}$ J
  4. D 5 × 10$^{5}$ J
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Correct answer: A

15
A particle of mass m at rest is acted upon by a force F for a time t. Its kinetic energy after the interval t is
  1. A 2 Ftm
  2. B $\frac { 2 F t } { m }$
  3. C $\frac { F t } { m }$
  4. D $\frac { F ^ { 2 } t ^ { 2 } } { 2 m }$
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Correct answer: D

16
If the values of force and length are increased four times then the energy will increase by-
  1. A 4 times
  2. B 2 times
  3. C 8 times
  4. D 16 times
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Correct answer: D

17
The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant K and compresses it by length L. The maximum momentum of the block after collision is
Work, Energy, and Power – NEET-6734
  1. A Zero
  2. B $\frac { M L ^ { 2 } } { K }$
  3. C $\sqrt { M K } L$
  4. D $\frac { K L ^ { 2 } } { 2 M }$
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Correct answer: C

18
A 2 kg mass lying on a table is displaced in the horizontal direction through 50 cm. The work done by the normal reaction will be
  1. A Zero
  2. B 100 Joule
  3. C 100 erg
  4. D 10 Joule
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Correct answer: A

19
A string of length L and force constant K is stretched to obtain extension l. It is further stretched to obtain extension $l _ { 1 }$. The work done in second stretching is
  1. A $\frac { 1 } { 2 } K l _ { 1 } \left( 2 l + l _ { 1 } \right)$
  2. B $\frac { 1 } { 2 } K l _ { 1 } ^ { 2 }$
  3. C $\frac { 1 } { 2 } K \left( l ^ { 2 } + l _ { 1 } ^ { 2 } \right)$
  4. D $\frac { 1 } { 2 } K \left( l _ { 1 } ^ { 2 } - l ^ { 2 } \right)$
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Correct answer: D

20
A man pushes a wall and fails to displace it. He does
  1. A Negative work
  2. B Positive but not maximum work
  3. C No work at all
  4. D Maximum work.
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Correct answer: C

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