kinetic energy and work energy theorem questions with solutions

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• Multi-correctmediumWork , Power and Energykinetic energy and work energy theorem

  For a non-relativistic particle of mass m, K = p²/(2m). Which statements are correct?

  Select all that apply

  • Option A

    If momentum magnitude doubles, kinetic energy becomes four times

  • Option B

    Two bodies having equal momentum necessarily have equal kinetic energy

  • Option C

    For fixed momentum, the smaller mass has greater kinetic energy

  • Option D

    For fixed kinetic energy, the larger mass has greater momentum magnitude

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• MCQmediumWork , Power and Energykinetic energy and work energy theorem

  A particle of mass m moves in one dimension under a resistive force F = -kv, where k > 0. If its speed decreases from u to u/2, work done by the resistive force is:

  Options

  • Option A

    -$\mu$²/8

  • Option B

    -$\mu$²/4

  • Option C

    -3mu²/8

  • Option D

    -$\mu$²/2

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• Multi-correctmediumWork , Power and Energykinetic energy and work energy theorem

  Which statements about the work-energy theorem are correct?

  Select all that apply

  • Option A

    $W_net$ = ΔK remains valid when the net force varies with position

  • Option B

    If net work between two instants is zero, final speed equals initial speed

  • Option C

    Zero net work implies acceleration was zero throughout

  • Option D

    Individual forces may do non-zero work even when net work is zero

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• NumericmediumWork , Power and Energykinetic energy and work energy theorem

  A 2 kg body is projected vertically upward with speed 20 m/s. During upward motion a constant resistive force of 4 N acts downward. Take g = 10 m/s². If maximum height is N/3 m, find N.

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• NumericmediumWork , Power and Energykinetic energy and work energy theorem

  A 1 kg block is projected upward along a 37° rough incline with speed 10 m/s. The coefficient of kinetic friction is 1/4. Take g = 10 m/s², sin37° = 3/5 and cos37° = 4/5. If the distance travelled before stopping is N/4 m, find N.

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• MCQeasyWork , Power and Energykinetic energy and work energy theorem

  A 2 kg block starts from rest and is pulled 10 m on a rough horizontal surface by a constant horizontal force of 10 N. The coefficient of kinetic friction is 0.20. Take g = 10 m/s². Its final speed is:

  Options

  • Option A

    √30 m/s

  • Option B

    √40 m/s

  • Option C

    √60 m/s

  • Option D

    10 m/s

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• A/ReasyWork , Power and Energykinetic energy and work energy theorem

  Evaluate the following statements.

  Assertion

  Assertion (A): In uniform circular motion, the centripetal force does zero work.

  Reason

  Reason (R): At every instant the displacement element is tangential while the centripetal force is radial.

  Options

  • Option A

    Both A and R are true and R is the correct explanation of A.

  • Option B

    Both A and R are true but R is NOT the correct explanation of A.

  • Option C

    A is true but R is false.

  • Option D

    A is false but R is true.

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• MCQmediumWork , Power and Energykinetic energy and work energy theorem

  A 1 kg block moving at 6 m/s on a smooth horizontal surface compresses an ideal spring of force constant 200 N/m. Maximum compression is:

  Options

  • Option A

    0.30 m

  • Option B

    3/√50 m

  • Option C

    0.50 m

  • Option D

    3/5 m

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• Multi-correctmediumWork , Power and Energykinetic energy and work energy theorem

  A particle moves from A to B under several forces. Which statements are correct?

  Select all that apply

  • Option A

    Net work between A and B equals $K_B$ - $K_A$

  • Option B

    If final kinetic energy is greater than initial kinetic energy, net work is positive

  • Option C

    One force can do negative work while the particle's kinetic energy still increases

  • Option D

    If kinetic energy remains constant throughout, every individual force must do zero work

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• NumericmediumWork , Power and Energykinetic energy and work energy theorem

  A 2 kg particle starts from rest at x = 0 and moves along the x-axis under F(x) = 6x + 4 N. If its kinetic energy at x = 3 m is N joule, find N.

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