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A bullet ofmass m is fired with a veloci...

A bullet ofmass m is fired with a velocity `10m//s` at angle `theta` with horizontal. At the hightest point of its trajectory, it collsides head-on with a bob of mass `3m` suspended by a massless string of length `2//5m` and gets embedded in the bob. After th collision the string moves through an angle of `60^(@)`.
The angle `theta` is

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The correct Answer is:
(i) `37^(@)` (ii) `(120, 45)`
(i) `((u cos theta)/(4))^(2) = 2g ((3R)/(2))`
`rArr cos theta = 4//5 rArr theta = 37^(@)`
(ii) `x = (R )/(2) = (v^(2) sin^(2) theta)/(2g) = 120m`
`y = H = (u^(2) sin^(2) theta)/(2g) = 45m`
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