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Question

A Disc of mass 1.0 kg is kept floating horizontally in air by firing bullets of mass 0.05 kg each vertically at it, at the rate of 10 per second. If the bullets rebound with the same speed, the speed with which these are fired will be
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A
0.098 m/s
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B
0.98 m/s
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C
9.8 m/s
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D
98.0 m/s
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Solution

The correct option is C 9.8 m/s
Suppose speed of firing is V then after
rebounding the momentum frees fessed
to the dis will be charge in momentum
ΔP=mv(mv)=2mv
initial
Value =|ΔP|=2mv
Fr 10 bullets 10×2=20mv
m=0.05kg|ΔP|total=v
time Δt=1 second
Fore entered =|ΔP|totalΔt=v1=v Newton
it should balance the eight of disc
to prevent it from falling
So =Mg=1×9.8
v=9.8mls

1182335_1034165_ans_6595a17fc31447bda85a482a83239e3e.jpg

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