conservation of mechanical energy questions with solutions

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• A/ReasyWork , Power and Energyconservation of mechanical energy

  Evaluate the following statements.

  Assertion

  Assertion (A): Mechanical energy of a particle can remain constant even though its kinetic and potential energies continuously change.

  Reason

  Reason (R): For motion under conservative forces, ΔK = -ΔU.

  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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• NumericmediumWork , Power and Energyconservation of mechanical energy

  A 2 kg block is released from rest from a height of 0.9 m above a smooth horizontal surface. It then compresses an initially uncompressed spring of force constant 400 N/m. If the maximum compression is N/10 m, find N. Take g = 10 m/s².

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• MCQeasyWork , Power and Energyconservation of mechanical energy

  A block is released from rest at a height of 5 m above the lowest point of a smooth track. Take g = 10 m/s². Its speed at the lowest point is:

  Options

  • Option A

    5 m/s

  • Option B

    5√2 m/s

  • Option C

    10 m/s

  • Option D

    10√2 m/s

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• NumericmediumWork , Power and Energyconservation of mechanical energy

  A 1 kg block is dropped from a point 1.2 m above an initially uncompressed vertical spring of force constant 200 N/m. Take g = 10 m/s². If the maximum compression is N/10 m, find N.

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• MCQeasyWork , Power and Energyconservation of mechanical energy

  A particle is placed at the point A of a frictionless track ABC as shown in figure. It is gently pushed toward right. The speed of the particle when it reaches the point B is : (Take g = 10 m/s²).

  

  Options

  • Option A

    20 m/s

  • Option B

    √10 m/s

  • Option C

    2√10 m/s

  • Option D

    10 m/s

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• MCQmediumWork , Power and Energyconservation of mechanical energy

  The bob of a pendulum was released from a horizontal position. The length of the pendulum is 10m. If it dissipates 10% of its initial energy against air resistance, the speed with which the bob arrives at the lowest point is : [Use, g : 10 ms⁻²]

  Options

  • Option A

    6√5 ms⁻¹

  • Option B

    5√6 ms⁻¹

  • Option C

    5√5 ms⁻¹

  • Option D

    2√5 ms⁻¹

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• NumericmediumWork , Power and Energyconservation of mechanical energy

  A 1 kg block is placed between two horizontal springs of force constants 100 N/m and 300 N/m. Both springs are simultaneously compressed by 0.20 m and the block is released on a smooth surface. If its maximum kinetic energy is N joule, find N.

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• Multi-correcteasyWork , Power and Energyconservation of mechanical energy

  A particle moves only under conservative forces. Which statements are correct?

  Select all that apply

  • Option A

    K + U remains constant

  • Option B

    If U decreases, K increases by the same amount

  • Option C

    Kinetic energy must remain constant

  • Option D

    Total mechanical energy can be negative

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• Multi-correctmediumWork , Power and Energyconservation of mechanical energy

  A block slides on a smooth fixed curved track under gravity and remains in contact with the track. Which statements are correct?

  Select all that apply

  • Option A

    Normal force can change the direction of velocity

  • Option B

    Normal force does zero work

  • Option C

    Mechanical energy remains constant

  • Option D

    Speed at a point depends only on the vertical height difference from the starting point

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• MCQmediumWork , Power and Energyconservation of mechanical energy

  A small body attached to a light string of length R is projected from the lowest point of a vertical circle. The minimum speed at the bottom required to complete the circle is:

  Options

  • Option A

    √(2gR)

  • Option B

    √(3gR)

  • Option C

    2√(gR)

  • Option D

    √(5gR)

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