Single Choice

A $$1 kg$$ particle strikes a wall with velocity $$1 m/s$$ at an angle of $$30^o$$ with the normal to the wall and reflects at the same angle. If it remains in contact with wall for $$0.1 s$$, then the force is:

A$$0$$
B$$10\sqrt 3N$$
Correct Answer
C$$30\sqrt 3N$$
D$$40\sqrt 3N$$

Solution

$$\Delta P=2 mu \cos 30^o$$
$$=2\times 1\times 1\times \dfrac {\sqrt 3}{2}=\sqrt 3 kg\:m/s$$
$$F=\dfrac {\Delta P}{\Delta t}=\dfrac {\sqrt 3}{0.1}=10\sqrt 3N$$

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