Question

A light and a Heavy object have the same momentum. find out the Ratio of their Kinetic energies. Which one has the larger kinetic energy?​

Answer 1

Answer:

Momentum = mass × velocity

Kinetic Energy = 1/2 mv²

by replacing mv by p (momentum)

K.E = 1/2 ×p×v

p1 = P2

for light object

P1 = M1 v1

M1 < m2

v1 should be greater than v2 to make both's momentum equal.

v1>v2

Kinetic energy for

light object-

= 1/2 ×p×v1

heavy object-

= 1/2 ×p×v2

light object will have more Kinetic energy as v1 is greater than v2.

Ratio of Kinetic energy-

(1/2× p×v1)/(1/2×p×v2)

= v1/v2

v1 >v2

so the ratio will be greater than 1.