Question

If the kinetic energy of body becomes four times of its initial value, then new momentum will be more than
its initial momentum by

Answer 1

Answer:

P will be increased to 2P

Explanation:

K.E = P² /2m

P = mv

as K.E increased to 4 times. so, it means V inreased to 2V

Therefore by P = mv p

P will be 2P  

Answer 2

Answer:

Let us consider a body of mass m.

Let the body is moving with velocity v.

The kinetic energy of the body    

The momentum of the body [ P] = m×v

  We know    

                           [ ∵m and 2 are constants]

As per the question, K.E is increased by 4 times.

Hence, from above it is obvious that momentum P will be increased by 2 times.