Question

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?

Answer 1

`a_2=2a_1` or the acceleration of `m_2` is twice that of `m_1`.

Explanation:

Using Newton's 2nd Law of motion `F=ma`, we get

`F_1=m_1a_1`

`F_2=m_2a_2`

We have:

`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`