Q.
A loaded spring gun of mass M fires a shot of mass m with a velocity v at an angle of elevation θ.The gun is initially at rest on a horizontal friction less surface. After firing the centre of mass of the gun-shot system
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a
Moves with a velocity mvM
b
Moves with a velocity mvMcosθ in the horizontal direction
c
Moves with a velocity mvsinθM+m along vertical direction
d
Moves with a velocity vM-mM+m in horizontal direction
answer is C.
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Detailed Solution
as there is no force acting in the horizontal direction velocity of the center of mass remain zero but vertical direction bullet has a velocity vsinθ;so velocity of center of mass along vertical direction is mvsinθM+m
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