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NEET 2006
Exam
NEET
Year
2006
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

NEET 2006 · Physics · Center of Mass, Momentum and Collision

A 0.5 ~kg ball moving with a speed of 12 m / s strikes a hard wall...

A 0.5 kg0.5 \mathrm{~kg} ball moving with a speed of 12 m/s\mathrm{m} / \mathrm{s} strikes a hard wall at an angle of 30∘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 is: 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

Options

  1. A96 N96 \mathrm{~N}
  2. B48 N48 \mathrm{~N}
  3. C24 N24 \mathrm{~N}
  4. D12 N12 \mathrm{~N}

Correct answer

C. 24 N24 \mathrm{~N}

Step-by-step solution

Applying law of conservation of momentum. Change in final momentum = initial momentum mvsin⁡θm v \sin \theta after collision −(−mvsin⁡θ-(-m v \sin \theta) before collision f×t= change in momentum =2mvsin⁡θ⇒f=2mvsin⁡θt\begin{aligned} & f \times t=\text{ change in momentum }=2 m v \sin \theta \\ & \Rightarrow \quad f=\frac{2 m v \sin \theta}{t} \end{aligned} Putting the values we get, f=2×0.5×12×sin⁡30∘0.25=24N.\begin{aligned} f= & \frac{2 \times 0.5 \times 12 \times \sin 30^{\circ}}{0.25} \\ & =24 \mathrm{ N} . \end{aligned}
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