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A shell of mass (m(1) + m(2)) is fired w...

A shell of mass `(m_(1) + m_(2))` is fired with a given velocity in a given direction. At the highest point of its path, the shell explodes into two fragments of mass `m_(1)` and `m_(2)`. The explosion produces an additional kinetic energy E and the fragments separate in a horizontal direction. Find the horizontal distance on the ground at which they hit the ground if vertical component of velocity is `v_(0)`.

A

`(v_(0))/(g)sqrt(2E((1)/(m_(1)) + (1)/(m_(2))))`

B

`(v_(0))/(g)sqrt(2E((1)/(m_(1)) - (1)/(m_(2))))`

C

`(v_(0))/(g)sqrt(E((1)/(m_(1)) - (1)/(m_(2))))`

D

`sqrt(2E((1)/(m_(1)) + (1)/(m_(2))))`

Text Solution

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The correct Answer is:
A
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