A 7 kg shell kept at rest suddenly splits up into three parts. If two parts of mass 3 kg each are found flying due north and cast with a velocity of 3 m/s each, what is the velocity of the third part after explosion ?

Options

A. 9 m/s due north-east
B. `(9)/(sqrt(2))`m/s due south-east
C. ` 9 sqrt(2)` m/s due south-west
D. `9 sqrt(2)` m/s due south-east

Answer

C

Explanation

` 9 sqrt(2)` m/s due south-west