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 3 kg, the acceleration of the object is 10 /ms2. If the same force acts upon another object whose mass is 2 kg, what is this object's acceleration?

Answer 1

Explanation

From the question, we can see that the acceleration of the object varies inversely with the mass when a certain constant force acts on the object. We can express this as;

$a=\frac{f}{m}$

Therefore, when the mass is 3kg, the acceleration of the object is 10 /ms2.

$\begin{gathered} 10=\frac{f}{3} \\ f=10\times3 \\ f=30ms^{-2} \end{gathered}$

Therefore, if the same force acts upon another object whose mass is 2 kg, the object's acceleration becomes.

$\begin{gathered} a=\frac{30}{2} \\ a=15ms^{-2} \end{gathered}$

Answer: 15 meters per seconds square.