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Question

Question: A dish of mass 10 g is kept floating horizontally in the air by firing bullets each of mass 5 g with...

A dish of mass 10 g is kept floating horizontally in the air by firing bullets each of mass 5 g with the same velocity. If 10 bullets are fired per second and the bullets rebound with the same speed, then the velocity of each bullet is:

A

196 cm/sec

B

98 cm/sec

C

49 cm/sec

D

None of these

Answer

98 cm/sec

Explanation

Solution

weight of disc = force on disc due to bullets

Mg = 2mnv

v = Mg2mn=102×9.82(5×103)(10)\frac{Mg}{2mn} = \frac{10^{- 2} \times 9.8}{2(5 \times 10^{- 3})(10)} = 0.98 m/s

or v = 98 cm/s