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Vector Addition

A body of mas...

Question

A body of mass $m_{1}$ exerts a force on another body of mass $m_{2} .$ If the magnitude of acceleration of $m_{2}$ is $a_{2},$ then the magnitude of the acceleration of $m_{1}$ is (considering only two bodies in space)

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\frac{m_{2} a_{2}}{m_{1}}

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\frac{m_{1} a_{2}}{m_{2}}

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a_{2}

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Solution

The correct option is B $\frac{m_{2} a_{2}}{m_{1}}$

$mass of body A = m_{1}$
$mass of body B = m_{2}$
$So,$
$F_{B A} | = | F_{A B} ∣$
$m_{B} a_{B} = m_{a} a_{a}$
$m_{2} a_{2} = m_{1} a_{a}$
$a_{a} = \frac{m_{2} a_{2}}{m_{1}}$
$The magnitude of acceleration of m_{1} is$
$(B) \frac{m_{2} a_{2}}{m_{1}}$

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