A 1 ~kg object strikes a wall with velocity 1 ~ms^ -1 at an angle...

1 \mathrm{~kg}

object strikes a wall with velocity

1 \mathrm{~ms}^{-1}

at an angle of

60^{\circ}

with the wall and reflects at the same angle. If it remains in contact with wall for

0.1 \mathrm{~s}

, then the force exerted on the wall is 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.

Options

A $10 \sqrt{3} \mathrm{~N}$
B $20 \sqrt{3} \mathrm{~N}$
C $30 \sqrt{3} \mathrm{~N}$
DZero

Correct answer

A. $10 \sqrt{3} \mathrm{~N}$

Step-by-step solution

\begin{aligned} & F=\frac{\Delta p}{\Delta t} \\ & \Delta p=2 m v \cos 30^{\circ} \\ & =2 \times 1 \times \frac{\sqrt{3}}{2}=\sqrt{3} \\ & F=\frac{\sqrt{3}}{0.1}=10 \sqrt{3} \mathrm{~N}\end{aligned}

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