The conservation of momentum is applicable in:

  1. Elastic collision only
  2. Inelastic collision only
  3. Both Elastic and Inelastic collision
  4. None of the above

Answer (Detailed Solution Below)

Option 3 : Both Elastic and Inelastic collision
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Detailed Solution

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CONCEPT:

  • Law of Conservation of Linear Momentum: If no external force acts on a system (called isolated) of constant mass, the total momentum of the system remains constant with time.

According to the law of conservation of momentum:

m1u1 + m2u2 = m1v1 + m2v(This equation is valid for both elastic and inelastic collision)

where m1 and m2 are the masses of two bodies colliding

u1 and u2 are the initial velocities of the colliding bodies before collision

v1 and v2 are the final velocities of the colliding bodies after collision

EXPLANATION:

  • The conservation of momentum is applicable in both elastic and inelastic collisions because there is no external force for the system. So option 3 is correct.

Elastic collision

Inelastic collision

  • The kinetic energy is conserved.
  • The kinetic energy is not conserved.
  • The momentum is conserved.
  • The momentum is conserved.
  • Total energy is conserved.
  • Total energy is conserved.
  • Forces involved during collision are conservative.
  • Some or all of the forces involved during collision are non-conservative.

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