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Question

A body whose momentum is constant must have constant:


A

Force

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B

Velocity

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C

Acceleration

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D

All of these

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Solution

The correct option is B

Velocity


Linear momentum

  1. Linear momentum is the product of mass and velocity, i.e, p=mv, where m and v are the mass and velocity of a body.
  2. Linear momentum is a vector quantity. For a rested body, linear momentum is zero.

Explanation for the correct option

Option B

  1. Linear momentum is the product of mass and velocity, i.e, p=mv.
  2. For a given mass, the linear momentum is constant means velocity is constant.
  3. Since p=mv, here p=constant and m=constant, so v=constant.

Explanation for the incorrect options

Option A

  1. According to Newton's second law of motion, the linear momentum is proportional to the applied force, i.e, Fdpdt, where F is the applied force, P is the linear momentum.
  2. If linear momentum is constant, then force will be zero.

Option C

  1. Again we know that, force, F=ma, where a is the acceleration of the body.
  2. If force is equal to zero, then acceleration will be zero.

So, option (B) is correct.


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