A particle of mass m moving with velocity ( 3 i + 2 j ) ,m/s, col… - Vidyadip

MCQ

A particle of mass $m$ moving with velocity $\left( {3\hat i + 2\hat j} \right)\,m/s,$ collides with another body of mass $M$ and finally moves with velocity $\left( {-2\hat i + \hat j} \right)\,m/s,$ then during the collision

A
impulse received by $m$ is $m\left[ {5\hat i + \hat j} \right]$
✓
impulse received by $m$ is $m\left[ {-5\hat i - \hat j} \right]$
C
impulse received by $M$ is $M\left[ { - 5\hat i - \hat j} \right]$
D
impulse received by $M$ is $m\left[ { - 5\hat i - \hat j} \right]$

✓

Answer

Correct option: B.

impulse received by $m$ is $m\left[ {-5\hat i - \hat j} \right]$

b
impulse $=\Delta \mathrm{p}=\mathrm{m}\left(\mathrm{v}_{\mathrm{f}}-\mathrm{v}_{\mathrm{i}}\right)$

impulse received by $m,$

$=\mathrm{m}[-2 \hat{\mathrm{i}}+\hat{\mathrm{j}}-(3 \hat{\mathrm{i}}+2 \hat{\mathrm{j}})]=\mathrm{m}[-5 \hat{\mathrm{i}}-\hat{\mathrm{j}}]$

impulse received by

$\mathrm{M}=-(\text { impulse received by } \mathrm{m})=\mathrm{m}[5 \hat{\mathrm{i}}+\hat{\mathrm{j}}]$

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