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Question

The point from where a ball of mass 2 kg is projected is taken as the origin of the co-ordinate axes. The x and y components of its displacement are given by x=6t and y=8t5t2. Find the average force on it from t=0 s to t=2 s seconds.

A
20 N
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B
40 N
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C
60 N
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D
80 N
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Solution

The correct option is B 40 N
ux=6 m/s; uy=8 m/s; and g=10 m/s2; In projectile motion, there is no change in velocity in the horizontal direction.
Hence there is no impulse in that direction. But in vertical direction, momentum changes. Hence vyuy=gt=20 m/s
Impulse =m(vyuy)=2×20=40 kg m/s.

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