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Standard IX

Physics

Conservation of Momentum

A force acts ...

Question

A force acts on a body of mass m1 and produce an acceleration a1. The same force when acting on a mass m2 produces acceleration a2. Define the relation between m1, m2, a1, a2.

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Solution

$For the first case, F = m_{1} a_{1} [Using, Force = Mass \times acceleration] For the second case, F' = m_{2} a_{2} According to question, F = F' So, m_{1} a_{1} = m_{2} a_{2}$

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A force acts on a body of mass m1 and produce an acceleration a1. The same force when acting on a mass m2 produces acceleration a2. Define the relation between m1, m2, a1, a2.

For the first case,F=m1a1 [Using, Force=Mass×acceleration]For the second case,F'=m2a2According to question,F=F'So,m1a1 =m2a2

$For the first case, F = m_{1} a_{1} [Using, Force = Mass \times acceleration] For the second case, F' = m_{2} a_{2} According to question, F = F' So, m_{1} a_{1} = m_{2} a_{2}$