Chapter 6, Problem 57A

A net force of 10.0 N is exerted by Irene on a 6.7-kg cart for 3.0 seconds. Show that the cart will have an acceleration of $1.5m/s^2$.

To determine

To show: Acceleration of cart is 1.5 m/s².

Explanation of Solution

Given:

Net force, $F_{\text{net}}=10\text{N}$

Mass of cart, $m=6.7\text{kg}$

Time, $t=3\text{s}$

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,

  $\begin{array}{l}10=6.7\times a\\ \Rightarrow a=\frac{10}{6.7}=1.49\\ \Rightarrow a\approx 1.5{\text{m/s}}^2\end{array}$

There is no effect of time on the acceleration.

Conclusion:

Therefore, it is proved that the acceleration of cart is 1.5 m/s².