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Question

A body moving with velocity v has momentum and kinetic energy numerically equal. What is the value of v


A

2m/s

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B

2m/s

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C

1m/s

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D

0.2m/s

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Solution

The correct option is A

2m/s


Step 1. Given data

It is given that momentum and kinetic energy numerically equal

Step 2. Velocity of body v

Kinetic energy is K.E=12mv2

Momentum is P=mv

where m is the mass of the body and Velocity of a body v

Equating momentum and kinetic energy, we get

mv=12mv2v=2m/s

The velocity of the body is v=2m/s

Hence, option A is correct.


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