Chapter 4.1, Problem 9PP

To determine

The acceleration of the cart if a net force of 2.7N acts on it.

Answer to Problem 9PP

  $4.22{\text{m/s}}^{\text{2}}$

Explanation of Solution

Given:

The mass of the cart, $m=0.64\text{ kg}$

Net force of $F_{net}=2.7\text{ N}$ acts on it.

Formula used:

From Newton’s Second law of motion:

  $a=\frac{F_{net}}{m}$

Where, a is the acceleration, m is the mass and $F_{net}$ is the net force.

Calculation:

Substitute the given values and solve:

  $\begin{array}{c}a=\frac{2.7}{0.64}\\ \approx 4.22{\text{m/s}}^{\text{2}}\end{array}$

Conclusion:

Thus, the cart’s acceleration is $4.22{\text{m/s}}^{\text{2}}$ .