A 1 kg object strikes a wall with velocity at an angle of with the wall and reflects at the same angle. If it remains in contact with the wall for 0.1 s, then the force exerted on the wall is [2023]

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Solution

Q.
A 1 kg object strikes a wall with velocity $1 {ms}^{- 1}$ at an angle of $60 °$ with the wall and reflects at the same angle. If it remains in contact with the wall for 0.1 s, then the force exerted on the wall is [2023]

1 $30 \sqrt{3} N$

2 $Zero$

3 $10 \sqrt{3} N$

4 $20 \sqrt{3} N$

Ans.
(3)

Impulse is a measure of the degree to which an external force produces a change in momentum of the body. Mathematically

$F =$ $| \frac{Δ \vec{p}}{Δ t} |$ $= \frac{2 m v \sin θ}{t} = \frac{2 (1) (1) \sin 60 °}{0.1} = 10 \sqrt{3} N$

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