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Question

A 1000kg moveable cannon traveling at 5m/s fires a 5kg cannonball forward at 50m/s relative to the cannon.
What is the recoil velocity of the cannon with respect to the ground?

A
5m/s to the right
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B
Less than 5m/s to the right
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C
Stationary
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D
Less than 5m/s to the left
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E
5m/s to the left
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Solution

The correct option is A 5m/s to the right
The speed of cannnonball relative to the cannon=50m/s
The speed of cannon=5m/s
Thus speed of cannnonball relative to the ground=55m/s
From conservation of momentum,
mcannonvcannon=mballvball+mcannonvrecoil
(1000)(5)=(5)(55)+(1000)(v)
v=4.725m/s towards right

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