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Two Bodies Have Masses in the Ratio 3 : 4 When a Force is Applied on the First Body. It Moves with an Acceleration of 6 How Much Acceleration Will the Same Force Produce in the Other Body -

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Question

Two bodies have masses in the ratio 3 : 4 when a force is applied on the first body. it moves with an acceleration of 6 ms-2 . How much acceleration will the same force produce in the other body? 

Solution

Force = mass x acceleration

= ma

Force F1 = F2

m1a1 = m2a2

Given `m_1/m_2 = 3/4`

`a_1 = 6 ms^(-2)`

`a_2 = (m_1x_1)/(m_2) = (3 xx 6)/4`

= 4.5 ms-2

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