Question

The bodies of equal masses have kinetic energy in the
ratio of 4 : 9. The ratio of their velocity is​

Answer 1

Answer:

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.

Answer 2

Answer:

A/Q

Let the mass of 1st body = m

and 2nd body be M

then their KE1 = 1/2mv²

KE2 = 1/2 MV²

then ratio = (1/2 mv²)/(1/2 MV²) = 4/9

as m = M

then

v²/V² = 4/9

v/V = √(4/9)

v/V = 2/3

HOPE IT HELPS......