A canon shell fired breaks into two equal parts at its highest point. One part retraches the path to the canon with kinetic enegry `E_(1)` and the kinetic energy of the second part is `E_(2)`. Relation between `E_(1)` and `E_(2)` is

Options

A. `E_(2) = E_(1)`
B. `E_(2) = 4 E_(1)`
C. `E_(2) = 9 E_(1)`
D. `E_(2) = 15 E_(1)`

Answer

C

Explanation

At highest point according to `L.C.M`,
`m u cos theta = -(m)/(2) u cos theta + (m)/(2) v`
`E_(1)=(1)/(2) ((m)/(2))(u cos theta)^(2), E_(2) = (1)/(2) ((m)/(2))v^(2)`.