If the same force is applied to m1 and m2 the mass of m1 is twice m2 what is the acceleration of m2 interms of a1?

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Answer 1 · 2018-01-04T14:43:20

$a_{2} = 2 a_{1}$ $a_2=2a_1$ or the acceleration of $m_{2}$ $m_2$ is twice that of $m_{1}$ $m_1$ .

Using Newton's 2nd Law of motion $F = m a$ $F=ma$ , we get

$F_{1} = m_{1} a_{1}$ $F_1=m_1a_1$

$F_{2} = m_{2} a_{2}$ $F_2=m_2a_2$

We have:

$F_{1} = F_{2}$ $F_1=F_2$

$:.m_1a_1=m_2a_2$

We also have:

$m_1=2m_2$

$2m_2a_1=m_2a_2$

$a_2=(2m_2a_1)/m_2=2a_1$