Question

Calculate the kinetic energy of a body of mass 0.1kg and momentum 20 kgm/s

Answer 1

MOMENTUM = MASS×VELOCITY
20 = 0.1×V
20/1/10=V
200 = V

K.E= 1/2MV^2
=1/2×(1/10)×(200)^2
=1/20×40000
=2000J

Answer 2

Hey there !

Solution :

Momentum = Mass * Velocity

Mass = 0.1 kg ( Given ) 

=> 20 kg.m / s = 0.1 kg * Velocity

=> Velocity = 20 kg.m / s / 0.1 kg

=> Velocity = 200 m / s

Therefore Kinetic Energy can be calculated with the formula:

Kinetic Energy = 1 / 2 *  Mass * Velocity²

=> Kinetic Energy = 0.5 * 0.1 kg * 200² m / s

=> Kinetic Energy = 0.05 * 40000 = 2000 kg.m / s

Hence Kinetic Energy = 2000 J

Hope my answer helped :-)