A force of `5N` gives a mass `m_(1)`, an acceleration of `10m//s^(2)`, and a mass `m_(2)`, an acceleration of `20m//s^(2)`. What acceleration would it give if both the masses were tied together?

Explanation

Here, `F=5N,a_(1)=10ms^(-2) , m_(1)=?`
`F=5N, a_(2)=20ms^(-2) , m_(2)=?`
`m_(1) = F/(a_(1))=5/10= 0.5kg, m_(2)=F/(a_(2)) = 5/20= 0.25kg`
Total mass `= m_(1)+m_(2)= 0.5+0.25=0.75kg`
Acceleration, `a=F/(m_(1)+m_(2))=5/(0.75)=6.67 m//s^(2)`