Question

The ratio of kinetic energy of two bodies of same mass is 4:9 the ratio of there velocity will be

Answer 1

Hello bud,

● Answer-

v1 : v2 = 2 : 3

● Explaination-

# Given -

KE1/KE2 = 4/9

# Formula -

KE = 1/2 mv^2

# Solution-

Let v1 and v2 be velocities of two bodies.

Thus,

KE1 = 1/2 mv1^2 ...(1)

KE2 = 1/2 mv2^2  ...(2)

Dividing (1) by (2),

KE1/KE2 = (v1/v2)^2

4/9 = (v1/v2) ^2

v1/v2 = 2/3

Therefore, ratio of velocities of two bodies is 2:3.

Hope it helps...