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NEET 2009

Exam: NEET
Year: 2009
Subject: Physics
Chapter: Center of Mass, Momentum and Collision

NEET 2009 · Physics · Center of Mass, Momentum and Collision

Two bodies of mass 1 ~kg and 3 ~kg have position vectors i +2 j + k...

Two bodies of mass

1 \mathrm{~kg}

and

3 \mathrm{~kg}

have position vectors

\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+\hat{\mathrm{k}}

and

-3 \hat{\mathrm{i}}-2 \hat{\mathrm{j}}+\hat{\mathrm{k}}

, respectively. The centre of mass of this system has a position vector :

Options

A $-\hat{i}+\hat{j}+\hat{k}$
B $-2 \hat{i}+2 \hat{k}$
C $-2 \hat{i}-\hat{j}+\hat{k}$
D $2 \hat{i}-\hat{j}-2 \hat{k}$

Correct answer

C. $-2 \hat{i}-\hat{j}+\hat{k}$

Step-by-step solution

\quad \overrightarrow{\mathrm{R}}_{\mathrm{cm}}=\frac{\mathrm{m}_1 \overrightarrow{\mathrm{r}}_1+\mathrm{m}_2 \overrightarrow{\mathrm{r}}_2}{\mathrm{~m}_1+\mathrm{m}_2}=-2 \hat{\mathrm{i}}-\hat{\mathrm{j}}+\hat{\mathrm{k}}

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