Derive an expression for the fraction of kinetic energy lost when a mass moving at…

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

Derive an expression for the fraction of kinetic energy lost when a mass

m

moving at speed

v

collides head-on and sticks to a mass

2m

that is initially at rest on a frictionless surface. Provide your final answer as the ratio

\displaystyle \frac{\Delta K}{K_\text{initial}}

in terms of the given variables.