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Why Objects Float or Sink

A body A of m...

Question

A body $A$ of mass $m_{1}$ exerts a force on another body $B$ of mass $m_{2}$ . If the acceleration of $B$ be $a_{2}$ , then the acceleration (in magnitude) of $A$ is

A

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

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B

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

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C

m_{1} m_{2} a_{2}

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D

(m_{1} + m_{2}) a_{2}

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Solution

The correct option is A $\frac{m_{2}}{m_{1}} a_{2}$
Force on $B = m_{2} a_{2}$

Force on $A = m_{1} a_{1}$

From Newton’s third law:

Acceleration of $A = \frac{m_{2} a_{2}}{m_{1}}$

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Why Objects Float or Sink

Standard IX Physics

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