Question

A force of 10 N is applied to two bodies of different masses. Body 1 has mass, $M_1=10kg$ and body 2 has mass, $M_2=15kg$. What is the ratio of the accelerations of bodies 1 and 2?

Answer 1

Given, Force (F)= 10 N, $M_1=10kg$ , $M_2=15kg$.

Let, $A_1$ and $A_2$ be the accelerations of bodies 1 and 2 respectively.

$Force=Mass\times Acceleration$

or, $Acceleration=\frac{Force}{Mass}$

Since force is constant (same for both the bodies), Acceleration is inversely proportional to the Mass.

$Acceleration\propto \frac{1}{mass}$

$\frac{A_1}{A_2}$= $\frac{M_2}{M_1}$

$\frac{A_1}{A_2}$= $\frac{15}{10}$

$\frac{A_1}{A_2}=\frac{3}{2}$