Question

When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with mass 8 kg, the acceleration of the object is 7 /ms2. If the same force acts upon another object whose mass is 28 kg, what is this object's acceleration?

Answer 1

Answer: The acceleration of 28 Kg object will be 2 $m/s^{2}$

Explanation: Force acting on an object is defined as mass times acceleration acting on it.

Mathematically it is defined as:

Force = mass $\times$ acceleration

F = 8 $\times$ 7 = 56 N

If the same force is acting on a 28 Kg object then the acceleration of the object will be equals to force to mass ratio.

Acceleration = $\frac{Force}{Mass} = \frac{56}{28}$ = 2 $m/s^{2}$