Chapter 8.1, Problem 4P

To determine

To find the force which will cause an acceleration of ${\text{100 m/s}}^{\text{2}}$ .

Answer to Problem 4P

The force is $160$ newton.

Explanation of Solution

Given information:

The acceleration of an object varies directly as the force acting on it. If a force of $240$ newton causes an acceleration of ${\text{150 m/s}}^{\text{2}}$ .

Calculation :

The force which will cause an acceleration of ${\text{100 m/s}}^{\text{2}}$ can be calculated by:

  $\begin{array}{l}\frac{y_1}{x_1}=\frac{y_2}{x_2}\\ \frac{150}{240}=\frac{100}{x_2}\\ x_2=\frac{100\times 240}{150}\\ x_2=160\end{array}$

Hence, the force is $160$ newton.