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Spring Force

Two blocks of...

Question

Two blocks of masses $m_{1}$ and $m_{2}$ are connected by a light spring and put on a horizontal firctionless table. The ratio of their acceleration after they are pulled apart and then released, is

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Solution

According to the Newton’s law the force acting on each block is same

So $F_{1} = F_{2}$

$m_{1} a_{1} = m_{2} a_{2}$

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

Hence the ratio of the masses is inversely proportional to their acceleration

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