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

NEET · Physics · Center of Mass, Momentum and Collision

A particle of mass m moving with a velocity ((3 i +2 j ) m / s )...

A particle of mass m moving with a velocity ((3 \hat{i\mathrm{i}}+2 \hat{j\mathrm{j}}) m\mathrm{m}/ s\mathrm{s}) collides with stationary body of mass M and finally moves with velocity ((-2 \hat{i\mathrm{i}}+\hat{j\mathrm{j}}) m\mathrm{m}/ s\mathrm{s}) then (A) Impulse received by (m=m(5 \hat{i}-5 \hat{j})) (B) Impulse received by (m=m(-5 \hat{i}-\hat{j})) (C) Impulse received by (M=m(\mathrm{M}=\mathrm{m}(5 \hat{i\mathrm{i}}+\hat{j\mathrm{j}})) (D) Impulse received by (M=m(5 \hat{i}-\hat{j})) then correct statements are

Options

  1. AB, C
  2. BA, C
  3. CB, D
  4. DA, D

Correct answer

A. B, C

Step-by-step solution

I=m⋅Δv=m[(−2i^+j^)−(3i^+2j^)]=m[−5i^−j^]→ Impulse on m Impulse on M=−(Impulse on m)=m(5i^+j^)\begin{aligned} & I=m \cdot \Delta v \\ & =m[(-2 \hat{i}+\hat{j})-(3 \hat{i}+2 \hat{j})] \\ & =m[-5 \hat{i}-\hat{j}] \rightarrow \text{ Impulse on } m \\ & \text{ Impulse on } M=-(\text{Impulse on } m) \\ & =m(5 \hat{i}+\hat{j}) \end{aligned})$
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