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NEET 2021
Exam
NEET
Year
2021
Subject
Physics
Chapter
Center of Mass, Momentum and Collision

NEET 2021 · Physics · Center of Mass, Momentum and Collision

A ball of mass 0 . 15kg is dropped from a height 10m strikes the...

A ball of mass 0.15kg0 . 15kg is dropped from a height 10m10m strikes the ground and rebounds to the same height. The magnitude of impulse imparted to the ball is (g=10ms−2)\left(g = 10m{s}^{- 2}\right) nearly :A ball of mass 0 . 15kg is dropped from a height 10m strikes the ground and rebounds to the same height. The magnitude

Options

  1. A0kgms−10kgm{s}^{- 1}
  2. B2.1kgms−12 . 1kgm{s}^{- 1}
  3. C4.2kgms−14 . 2kgm{s}^{- 1}
  4. D1.4kgms−11 . 4kgm{s}^{- 1}

Correct answer

C. 4.2kgms−14 . 2kgm{s}^{- 1}

Step-by-step solution

m=0.15kg;h=10mm = 0 . 15kg; h = 10m

v=2gh=2×9.8×10=14ms−1v = \sqrt{2gh} = \sqrt{2 \times 9 . 8 \times 10} = 14m{s}^{- 1}

A ball of mass 0 . 15kg is dropped from a height 10m strikes the ground and rebounds to the same height. The magnitude

As we know,

Impulse=change in momentum

=pf−pi=0.15×14−(−0.15×14)= {p}_{f} - {p}_{i} = 0 . 15 \times 14 - \left(- 0 . 15 \times 14\right)

=2×0.15×14= 2 \times 0 . 15 \times 14

=4.2kgms−1= 4 . 2kgm{s}^{- 1}

( To raise back to same height, rebounds velocity is same as the hitting velocity)

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