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A particle strikes a smooth horizontal s...

A particle strikes a smooth horizontal surface at an angle of `45^(@)` with a velocity of `100m//s` and rebounds. If the coefficient of restitution between the floor and the particle is `0.57` then the angle which the velocity of the particle after it rebounds will make with the floor is

A

`30^(@)`

B

`45^(@)`

C

`60^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

Along horizontal direction
`m u sintheta_(1)=mvsintheta_(2)` ……(`1`)
Along common normal
`eu costheta_(1)=vcostheta_(2)`……(`2`)
Solving Eqs. (`1`) and (`2`), `theta_(2)=tan^(-1)((1)/(0.57)tan45^(@))=60^(@)`
`rArr beta=30^(@)`
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