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  4. 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 at the same angle. If the ball is in contact with the wall for 0.25 seconds, the average force acting on the wall is

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Q. A $0.5 \,kg$ ball moving with a speed of $12\, m / s$ strikes a hard wall at an angle of $30^{\circ}$ with the wall. It is reflected with the same speed at the same angle. If the ball is in contact with the wall for $0.25$ seconds, the average force acting on the wall isPhysics Question Image

BHUBHU 2006Laws of Motion

Solution:

Here, $m=0.5\, kg , v=12\, m / s , \theta=30^{\circ}$
$t=0.25 \, s, F=$ ?
As Impulse = change in linear momentum
$\therefore F \times t=2 m v \sin 30^{\circ}$ (perpendicular to the wall)
$F=\frac{2 m v \sin 30^{\circ}}{t}=\frac{2 \times 0.5 \times 12}{0.25} \times \frac{1}{2}=24 N$.