Question

a body has Momentum in ratio 2 is to 3 a difference instant of fans the ratio of its kinetic energy is at those instants

Answer 1

use the formula for kinetic energy , KE = 1/2 (mv)sq

and momentum = mv. (Refer attached image)

Answer 2

Momentum=mass x velocity...........mu:mv=2:3.......so u:v=2:3...........Kinetic Enenrgy=1/2 mv^2............1/2mu^2:1/2mv^2=u^2:v^2=2^2:3^2=4:9............therefore ratio of kinetic energy at given instants = 4:9