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Physics
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Center of Mass, Momentum and Collision

NEET · Physics · Center of Mass, Momentum and Collision

A time varying force acts on a ball of mass 100g for 2ms . The...

A time varying force acts on a ball of mass 100g100g for 2ms2ms. The force versus time curve is shown below. If the initial speed of the ball is 10ms−110m{s}^{- 1}, then the speed of ball after 2ms2ms is

A time varying force acts on a ball of mass 100g for 2ms . The force versus time curve is shown below. If the initial

Options

  1. A410ms−1410m{s}^{- 1}
  2. B210ms−1210m{s}^{- 1}
  3. C200ms−1200m{s}^{- 1}
  4. D400ms−1400m{s}^{- 1}

Correct answer

B. 210ms−1210m{s}^{- 1}

Step-by-step solution

A time varying force acts on a ball of mass 100g for 2ms . The force versus time curve is shown below. If the initial

As we know, impulse = area under F-t graph.

Therefore,

Impulse=12×(2×10−3)×(20×103)\text{Impulse} = \dfrac{1}{2} \times \left(2 \times {10}^{- 3}\right) \times \left(20 \times {10}^{3}\right)
=20kgms−1= 20kgm{s}^{- 1}

Also, impulse is equal to change in momentum of the particle,

∆p=impulse∆ p = \text{impulse}
⇒mv−mu=20⇒ mv - mu = 20
⇒v=20m+u⇒ v = \dfrac{20}{m} + u
=200.1+10= \dfrac{20}{0 . 1} + 10
=210ms−1= 210m{s}^{- 1}

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