Question

The masses of two bodies are in the ratio 2:3 and the ratio of their velocity is 3:2, calculate the ratio of their kinetic energies​

Answer 1

Explanation:

The ratio of mass and velocity are:

m1:m2 = 2:3, v1:v2 = 3:2.

The formula of kinetic energy,

$k \: = m {v}^{2} \div 2$

Therefore, the ratio of kinetic energy will be:

k1:k2 = m1*v1^2:m2*v2^2

thus, 2*(3) ^2 : 3*(2) ^2

=> 2*9 : 3*4 => 18 : 12 => 3:2.

Therefore the ratio of the kinetic energy of the two bodies will be 3:2.