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)=15E_(1)`
B. `E_(2)=E_1`
C. `E_(2)=E_(3)`
D. `E_(2)=9E_(1)`

Answer

d

Explanation

shell breaks at the highest point
` mu costheta=-m/2mu costheta+m/2v`
`mv=3mucostheta `
`v=3mu costheta`
kinetic energy`, E_(1)=1/2 m/2 mu^(2) costheta=1/4mmu^(2) cos^(2)theta`
`E_(2)=1/2xxm/2 9mu^(2)9mu^(2)cos^(2)theta=9/4mmu^(2)cos^(2)theta`
`E_(2)=9E_(1)`