Suppose a golf ball is hurled at a heavy bowling ball initially at rest and bounces elastically from the bowling ball after the collision

Options

A. the golf ball has the greater momentium and the greater kinetic energy
B. the bowling ball has the greater momentium and the greater kinetic energy
C. the golf ball has the greater momentium but has the smaller kinetic energy
D. the bowling ball has the greater momentium but has the smaller kinetic energy

Answer

D

Explanation

`P_(if)=mv_(1)approxmv_(0)`
`intNdt=|Deltavec(p)|is same for bothapprox2mv_(0)`
` p_(2)f=mv_(2)approx 2mv_(0)`
`Rightarrow P_(2f)ge p_(1f)`
`Rightarrow k_(1)/k_(2)=(p^(2)if)/(p^(2)2f) m_(2)/m_(1)=((mv_(0))^(2).M)/((2mv_(0))^(2)m)=M/(4m)`
`k_(1)ge k_(2)`