A 0.5 kg ball moving with a speed of 12 m/s strikes a hard wall at an angle of 30^ with the wall. It is reflected with the same speed and at the same - Physics MCQ Physics | ExamTest.live

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A 0.5 kg ball moving with a speed of 12 m/s strikes a hard wall at an angle of 3 0^{\circ} with the wall. It is reflected with the same speed and at the same angle. If the ball is in contact with the wall for 0.25 s, the average force acting on the wall is:

A $48 N$
B $24 N$
C $12 N$
D $96 N$

Solution & Step-by-step Explanation

The angle is given with the wall, so the angle with the normal is θ = 9 0^{\circ} - 3 0^{\circ} = 6 0^{\circ} .The component of momentum parallel to the wall remains unchanged (m v sin θ).The component perpendicular to the wall reverses direction.Change in momentum Δ p = 2 m v cos θ . Δ p = 2 \times 0.5 \times 12 \times cos (6 0^{\circ}) = 12 \times 0.5 = 6 kg m/s .Average force F = \frac{Δ p}{Δ t} = \frac{6}{0.25} = 24 N .

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A 0.5 kg ball moving with a speed of 12 m/s strikes a hard wall at an angle of 3 0^{\circ} with the wall. It is reflected with the same speed and at the same angle. If the ball is in contact with the wall for 0.25 s, the average force acting on the wall is:

48 N

24 N

12 N

96 N

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A $0.5 kg$ ball moving with a speed of $12 m/s$ strikes a hard wall at an angle of $3 0^{\circ}$ with the wall. It is reflected with the same speed and at the same angle. If the ball is in contact with the wall for $0.25 s$ , the average force acting on the wall is:

Solution & Step-by-step Explanation

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A 0.5kg ball moving with a speed of 12m/s strikes a hard wall at an angle of 30∘ with the wall. It is reflected with the same speed and at the same angle. If the ball is in contact with the wall for 0.25s, the average force acting on the wall is:

Solution & Step-by-step Explanation

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Discussion

A $0.5 kg$ ball moving with a speed of $12 m/s$ strikes a hard wall at an angle of $3 0^{\circ}$ with the wall. It is reflected with the same speed and at the same angle. If the ball is in contact with the wall for $0.25 s$ , the average force acting on the wall is: