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Question

A cannonball (mass =2 kg) is fired at a target of 500 m away. The 400 kg cannon recoils with a velocity of 2 m/s . Assuming cannon ball moves with constant velocity, when will it hit the target?


A
1.25 s
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B
2 s
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C
1.5 s
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D
0.2 s
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Solution

The correct option is A 1.25 s

From the law of conservation of momentum, total momentum before firing = total momentum after firing. Therefore,
0 = mass of cannon × velocity of cannon + mass of cannonball × velocity of cannonball

0=400×(2)+2×v

v=400×22

=400 m/s

Hence, the velocity of the cannonball will be 400 m/s.
Thus, time taken to hit the target = 500400=1.25 s


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