A car has a gun mounted on it.The combined system has a mass 10m and moves with a velocity v.The barrel of the gun makes an angle 37^(@) with the horizontal.A shell of mass m leaves the barrel at a speed 50m/s relative to barrel in the forward direction.The speed v of the car so that it may stop after the firing is

A railway flat car has an artillery gun installed on it. The combined system has a mass M and moves with a velocity V . The barrel of the gun makes an angle a with the horizontal. A shell of mass m leaves the barrel at a speed v relative to the barrel. The speed of the flat car so that it may stop after the firing is

A railway flat car, whose mass together with the artillery gun is M = 2 m , moves at a speed V . The gun barrel makes an angle alpha = 60^(@) with the horizontal. A shell of mass m leaves the barrel at a speed v = 12 ms^(-1) , relative to the barrel. Find the speed of the flat car V (in ms^(-1) ) in order that it may stop after the firing.

A gum (mass=M) fires a bullet (mass=m) with speed v_r relative to barrel of the gum which is inclined at an anlge of 60^@ with horizontal. The gun is placed over a smooth horizontal surface. Find the recoil speed of gun.

A bullet of mass m leaves a gun of mass M kept on a smooth horizontal surface . If the speed of the bullet relative to the gun is v , the magnitude of recoil speed of the gun will be

A ball of mass m is projected with a speed v into the barrel of a spring gun of mass M initially at rest lying on a frictionless surface. The mass sticks in the barrel at the point of maximum compression in the spring. The fraction of kinetic energy of the ball stored in the spring is