Question

The mass of a object A is double the mass of object B. The object B moves with a speed doubled to that of a A. Calculate the ratio of there kinetic energy of A to the kinetic energy of B​

Answer 1

Explanation:

let mass of B be m

and velocity of A be v

mass of A=2m

velocity of B = 2v

ratio of kinetic energy of A to that of B

= [(1/2)*2m*(v^2)] / [(1/2)*m*([2v]^2)]

(1/2 from numerator and denominator cancels

= [2m*v*v] / [ m*4*v*v]

(v^2 and 2m cancels)

= 1/2

therefore ratio =1:2