Chapter 6, Problem 59A

A net force of 10.0 N on a box of plastic foam causes it to accelerate at $2.0m/s^2$. Show that the mass of the box is 5.0 kg.

To determine

To show: Mass of the box is, $m=5\text{kg}$ .

Explanation of Solution

Given:

Net force, $F=10\text{N}$

Acceleration of the box, $a=2{\text{m/s}}^2$ .

Formula Used:

From Newton’s second law, the net force is given as

  $F=ma$

Where, $m$ is mass of object and $a$ is acceleration.

Calculation:

On substituting the given values,

  $\begin{array}{l}10=m\times 2\\ \Rightarrow m=\frac{10}{2}=5\\ \Rightarrow m=5\text{kg}\end{array}$

Conclusion:

Therefore, it is proved that the mass of the box is 5 kg.