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A ball is dropped on a large smooth incl...

A ball is dropped on a large smooth inclined plane of angle of inclination `37^(@)`, from a height of `(20)/(9)m` above the point of impact. The coefficient of restitution of the impact is `e = (9)/(16)` then :
[Take `g = 10 m//s^(2)`]

Text Solution

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The correct Answer is:
A, B, C


`V^(2)=2gh = 2xx10xx(20)/(g)rArr V=(20)/(3)m//s`
`V_(x)=V sin 37^(@) = 4m//sV_(y) = eV cos 37^(@) = 3m//s`
`:. V` makes an angle of `37^(@)` with incline plane
`T=(2V'sin 37^(@))/(g cos 37^(@))=(3)/(4)s`
is the time of flight on incline plane
`H=(V'^(2)sin^(2)37^(@))/(2g cos 37^(@)) = (9)/(16) m`.
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