A ball of mass `1 kg` moving with a velocity of `5 m//s` collides elastically with rough ground at an angle `theta` with the vertical as shown in Fig. What can be the minimum coefficient of friction if ball rebounds vertically after collision? (given `tantheta=2`)

Answer

1

Explanation

From impulse momentum theorem
`intN dt=m(v+5costheta)`………….i
`intf dt=m5sintheta`
`muintN dt=m5sintheta`……..ii
`impliesmum(v+5costheta)=m5sintheta`

According to Newton's law of restitution
`v=35costheta`
Solve to get `mu=1`