A force of 100 N gives a mass `m_1`, an acceleration of 10 ms-2 and of `20 ms^(-2)` to a mass `m_2`. What acceleration must be given to it if both the masses are tied together?

Explanation

Suppose, a = acceleration produced if `m_1` and `m_2` are tied together,
F = 100 N
Let `a_1` and `a_2` be the acceleration produced in `m_1` and `m_2` , respectively.
` therefore a_1 = 10 ms6(-2) , a _2 = 20 ms^(-2) ` (given )
agian ` m_1 = (F)/(a_1) " and " m_2 = (F)/(a_3)`
` rArr m_1 = 100/10 = 10kg`
`m_2 = 100/20 = 5kg `
` m_1 + m_2 = 10 + 5 = 15`
so ` a = (F)/(m_1 + m_2) =100/15 = 20/3 = 6.67 ms^(-2)`