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Physics · Newton's Laws of Motion

NEET (UG) 2025 — Question 9

A ball of mass 0.5 kg is dropped from a height of 40 m . The ball hits the ground and rises to a height of 10 m . The impulse imparted to the ball during its collision with the ground is (Take g=9.8 m/s2\mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^{2} )

  1. Option A:

    21 Ns

    Correct
  2. Option B:

    7 Ns

  3. Option C:

    0

  4. Option D:

    84 Ns

Answer: A

Step-by-step solution

Speeds before and after collision:

v1=2gh1=2⋅9.8⋅40=28 m/s,v_1 = \sqrt{2gh_1} = \sqrt{2 \cdot 9.8 \cdot 40} = 28~\text{m/s}, v2=2gh2=2⋅9.8⋅10=14 m/s.v_2 = \sqrt{2gh_2} = \sqrt{2 \cdot 9.8 \cdot 10} = 14~\text{m/s}.

Impulse imparted:

J=m(v2−(−v1))=m(v1+v2),J = m(v_2 - (-v_1)) = m(v_1 + v_2), J=0.5(28+14)=21 N⋅s.J = 0.5(28 + 14) = 21~\text{N·s}.

Answer key and solution verified before publishing.

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Exam
NEET (UG) 2025
Paper
2025 paper
Subject
Physics
Chapter
Newton's Laws of Motion
Topic
Application of NLM and Impulse
A ball of mass 0.5 kg is dropped from a height of 40 m . The ball… | NEET (UG) 2025 PYQ with Solution · DhiX AI