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NEET PHYSICSLAWS OF MOTIONMedium

Question

A player caught a cricket ball of mass 150 g moving at a rate of 20 m/s. If the catching process be completed in 0.1 s, then the force of the blow exerted by the ball on the hands of the player is:

A

0.3 N

B

30 N

C

300 N

D

3000 N

Step-by-Step Solution

  1. Convert Units: Mass m=150 g=0.15 kgm = 150 \text{ g} = 0.15 \text{ kg}.
  2. Analyze Momentum Change:
  • Initial velocity u=20 m/su = 20 \text{ m/s}.
  • Final velocity v=0 m/sv = 0 \text{ m/s} (the ball stops).
  • Change in momentum Δp=m(vu)=0.15×(020)=3.0 kg m/s\Delta p = m(v - u) = 0.15 \times (0 - 20) = -3.0 \text{ kg m/s}.
  • Magnitude of momentum change Δp=3.0 kg m/s|\Delta p| = 3.0 \text{ kg m/s} [Source 56].
  1. Apply Impulse-Momentum Theorem: The average force is defined as the rate of change of momentum (or Impulse divided by time).
  • Favg=ΔpΔtF_{avg} = \frac{|\Delta p|}{\Delta t}
  • Substituting the values: Favg=3.0 kg m/s0.1 s=30 NF_{avg} = \frac{3.0 \text{ kg m/s}}{0.1 \text{ s}} = 30 \text{ N} [Source 57, 66].
  1. Context: This principle explains why a cricketer pulls his hands back while catching a ball: increasing the time (Δt\Delta t) reduces the force (FF) exerted on the hands [Source 56].

Exam Context & Concepts Covered

This question aligns with the NEET PHYSICS syllabus, specifically targeting concepts from LAWS OF MOTION. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

PHYSICSLAWS OF MOTIONplayercaughtcricketmovingcatching

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