A gun of mass M(including the carriage) fires a shot of mass `m`. The gun along with the carriage is kept on a smooth horizontal surface. The muzzle speed of the bullet `v_r` is constant. Find
(a) The elevation of the gun with horizontal at which maximum range of bullet with respect to the ground is obtained.
(b) The maximum range of the bullet.

Answer

A, B, D

Explanation

Muzzle velocity `v_r` is given to be constant.
From consevation of linear momentum in horizontal direction we have,
`Mv=m(v_rcostheta-v)`
or `v=(mv_rcostheta)/(M+m)` …(i)
Further, range of bullet on horizontal ground
`R=(2v_rsintheta)/(g)(v_rcostheta-v)`