A particle of mass moving with speed collides and sticks to a stationary particle of…

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A particle of mass

m

moving with speed

u

collides and sticks to a stationary particle of mass

km

(

k>0

). Which of the following gives the fraction of the initial kinetic energy that is lost in the collision? (a)

\dfrac{1}{1+k}

(b)

\dfrac{k}{1+k}

(c)

1-\dfrac{k}{(1+k)^2}

(d)

\dfrac{k^{2}}{(1+k)^{2}}