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JEE Main 202225 JulyEvening Shift
Exam
JEE Main
Year
2022
Date
25 July
Shift
Evening Shift
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

JEE Main 2022 · 25 July · Evening Shift · Physics · Center of Mass, Momentum and Collision

Two billiard balls of mass 0 . 05kg each moving in opposite...

Two billiard balls of mass 0.05kg0 . 05kg each moving in opposite directions with 10ms−110{ms}^{- 1} collide and rebound with the same speed. If the time duration of contact is t=0.005st = 0 . 005s, then what is the force exerted on the ball due to each other?Two billiard balls of mass 0 . 05kg each moving in opposite directions with 10 ms ^ - 1 collide and rebound with the

Options

  1. A100N100N
  2. B200N200N
  3. C300N300N
  4. D400N400N

Correct answer

B. 200N200N

Step-by-step solution

After collision, the balls change their directions of motion without changing the magnitudes of their velocity.

Two billiard balls of mass 0 . 05kg each moving in opposite directions with 10 ms ^ - 1 collide and rebound with the

Change in momentum of any one ball

∣Δp→∣=2×0.05×10\left|\Delta\overset{\to}{p}\right| = 2 \times 0 . 05 \times 10

⇒∣Δp→∣=1kgms−1⇒ \left|\Delta\overset{\to}{p}\right| = 1kgm{s}^{- 1}

The force exerted on the ball is \left|\overset{\to}{F}av\right| = \dfrac{\left|\Delta\overset{\to}{p}\right|}{\Deltat} = \dfrac{1}{0 . 005}</p><p></p><p>{F}_{av} = 200N

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