A ball moving with velocity `2 ms^(-1)` collides head on with another stationary ball of double the mass. If the coefficient of restitution is `0.5`, then their velocities (in `ms^(-1)`) after collision will be

Options

A. 0,1
B. 1,1
C. 0,0.5
D. 0,2

Answer

A

Explanation

initial condition final condition
By conservation of linear momentum :
`2M=Mv_(1)+2mv_(2)implies V_(1)+2v_(2)=2`
by definition of e: e `=(1)/(2)=(v_(2)-v_(1))/(2-0)`
`implies v_(2)-V_(1)=1implies V_(1)=0and v_(2) = 1 ms^(-1)`