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A cricket ball is hit for a six the bat ...

A cricket ball is hit for a six the bat at an angle of `45^(@)` to the horizontal with kinetic energy K. At the highest point, the kinetic energy of the ball is

A

Zero

B

` (E )/(2) `

C

` (E )/(sqrt 2 ) `

D

` E `

Text Solution

Verified by Experts

The correct Answer is:
B
The kinetic energy of the ball at point of projection is E. `E=1/2 m u^(2)`
At highest point velocity has its horizontal component `u cos theta`.
Therefore kinetic energy of the ball at height point is: `E_(H)=1/2m (u cos theta)^(2)=1/2 mu^(2) (cos theta)^(2)=E cos^(2) theta rArr E_(H)=E cos^(2) 45^(@)=E/2`
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