Question

A particle of mass $m$ moving with a velocity $(3\hat{i}+2\hat{j})m{s}^{-1}$ collides with another body of

mass $M$ and finally moves with velocity $(-2\hat{i}+\hat{j})m{s}^{-1}$. Then during the collision :

• A. Impulse received by $m$ is $m(5\hat{i}+\hat{j})$
• B. Impulse received by $m$ is $m(-5\hat{i}-\hat{j})$
• C. Impulse received $M$ is $m(-5\hat{i}-\hat{j})$
• D. Impulse received by $M$ is $m(5\hat{i}+\hat{j})$

Answer 1

Answer: (B), (D)

The correct options are
B Impulse received by $m$ is $m(-5\hat{i}-\hat{j})$
D Impulse received by $M$ is $m(5\hat{i}+\hat{j})$

Impulse= change in linear momentum, $\Delta \overrightarrow{p}=\overrightarrow{p_f}-\overrightarrow{p_i}=m(-2\hat{i}+\hat{j})-m(3\hat{i}+\widehat{2j})=m(-5\hat{i}-\hat{j})$;
Impulse received by M = - (impulse received by m) = $m(5\hat{i}+\hat{j})$;