A bullet of mass a moving with velocity b strikes a large stationary block of wood of mass c, and remains embed in it, the final velocity of the system is :

Options

A. `(b)/(c+b)`
B. `(a+b)/(c)a`
C. `(a)/(a+c)b`
D. `(a+b)/(a)b`

Answer

c

Explanation

By conservation of momentum
`m_(1)u-(1)+m_(2)u_(2)=(m_(1)+m_(2))V`
`:.ab+cxx0=(a+c)Vimplies(ab)/(a+c)`
Hence correct choice is (c)