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Q.

A gun which fires small balls of mass 20 g is firing 20 balls per second on the smooth horizontal table surface ABCD. If the collision is perfectly elastic and balls are striking at the centre of table with a speed of 5 m/s at an angle of 60° with the vertical just before collision, then force exerted by one of the legs on ground is (assume total weight of the table is 0.2 kg)

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a

0.5 N

b

1 N

c

0.25 N

d

0.75 N

answer is B.

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Detailed Solution

Force on table due to collision of balls:Fdynamic =dpdt=2×20×20×10−3×5×0.5=2NNet force on one leg =14(2+0.2×10)=1N
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