Two bodies have a mass ratio of 3:4. The force applied on the bigger mass produces an acceleration of 12 `ms^(-2)`. What could be the acceleration of the other body , if the same force acts on it .

Explanation

Given
Mass ratio of two bodies is `3:4`
So let's assume
Mass of smaller body=`m_1=3kg `
Mass of bigger body `=m_2=4kg `
Acceleration due to force applied by bigger body `=a_2=12ms^(-1)`
To find : Acceleration due to the same force on the smaller body `=a_1=? `
Solution :
According to Newton's second law of motion .
`F= mxx a `
`F_1= m_1a_1 " "F_2=m_2a_2`
`F_1=3a_1 " "F_2=4 xx 12 =48N`
As the force is the equal
`F_1=F_2`
`3a_1=48`
`:. a_1=(48)/(3)=16ms^(-2)`
So acceleration due to the same force on the smaller body `a_1=16ms^(-1)`