Momentum and CollisionMedium

Question

A railway flat car has an artillery gun installed on it. The combined system has a mass M and moves with a velocity v0. The barrel of the gun makes an angle a with the horizontal. A shell of mass m leaves the barrel at a speed ′u′ relative to initial state of barrel in the forward direction. The speed of the flat car so that it may stop after the firing is: (neglect frinstion)   

Options

A.
B.cos α
C.cos α
D.(M + m) u cos α

Solution


u - velocity of shell with respect to gun.
In horizontal direction = 0, so centre of mass move with constant velocity in horizontal plane.
(M + m)v0 = m(v0 + u cos α)
V0 =

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