Conservation of Mechanical Energy questions with solutions

Showing 1–10 of 28 questions

• NumericmediumWork , Power and EnergyConservation of Mechanical Energy

  The ends of spring are attached to blocks of mass 3 kg and 2 kg. The 3 kg block rests on a horizontal surface and the 2 kg block which is vertically above it is in equilibrium producing a compression of 1 cm of the spring. The 2 kg mass must be compressed further by at least _______ (in mm), so that when it is released, the 3 kg block may be lifted off the ground.

  

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• NumericmediumWork , Power and EnergyConservation of Mechanical Energy

  A 100 g ball is dropped from height h=10 cm onto a platform attached to a vertical spring. The ball sticks and the platform is depressed by h/2. Find the spring constant in N/m. (g=10 m/s²)

  

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  JEE Mains 2022

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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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• MCQmediumWork , Power and EnergyConservation of Mechanical Energy

  300 J of work slides a 2 kg block up an inclined plane by height 10 m. How much work is done against friction? Use g=10 m s⁻².

  Options

  • Option A

    1000 J

  • Option B

    200 J

  • Option C

    100 J

  • Option D

    zero

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  AIPMT 2006NEET

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• Multi-correctmediumWork , Power and EnergyConservation of Mechanical Energy

  A particle moves from A to B under conservative and non-conservative forces. Which statements are correct?

  Select all that apply

  • Option A

    Δ(K+U) = $W_nc$

  • Option B

    If $W_nc$ = 0, mechanical energy is conserved

  • Option C

    If friction does negative work, mechanical energy generally decreases

  • Option D

    Mechanical energy can increase due to positive work by an external non-conservative force

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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

  The potential energy U(x) of a particle moving along x-axis is shown in figure. Which one of the following graphs represents the variation of kinetic energy of this particle if its total mechanical energy is E₀?

  

  Options

  • Option A

    
  • Option B

    
  • Option C

    
  • Option D

    

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• MCQmediumWork , Power and EnergyConservation of Mechanical Energy

  A mass M hangs from an initially unstretched vertical spring of spring constant k and is released from rest. Determine maximum spring extension.

  Options

  • Option A

    2Mg/k

  • Option B

    4Mg/k

  • Option C

    Mg/(2k)

  • Option D

    Mg/k

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  AIPMT Screening 2009NEET

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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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  JEE MainsNEETJEE Advanced

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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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