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Question: A 100 g iron ball having velocity 10 m/s collides with a wall at an angle 30° and rebounds with the ...

A 100 g iron ball having velocity 10 m/s collides with a wall at an angle 30° and rebounds with the same angle. If the period of contact between the ball and wall is 0.1 second, then the force experienced by the wall is

A

10 N

B

100 N

C

1.0 N

D

0.1 N

Answer

10 N

Explanation

Solution

During collision of ball with the wall horizontal momentum changes (vertical momentum remains constant)

F=Change in horizontal momentum Time of contact\therefore F = \frac{\text{Change in horizontal momentum }}{\text{Time of contact}}

=2Pcosθ0.1=2mvcosθ0.1=2×0.1×10×cos600.1=106muN= \frac{2P\cos\theta}{0.1} = \frac{2mv\cos\theta}{0.1} = \frac{2 \times 0.1 \times 10 \times \cos 60{^\circ}}{0.1} = 10\mspace{6mu} N