Question

The brakes on a car do 110,095J of work as they apply an average force of 8,450N. How far in meters does the car continue before stopping

Answer 1

13.02 meters

Explanation

the work done by the brakes makes the car stops, so the change in energy equals the work done

hence

$\text{work}=\Delta Ek=\frac{1}{2}mv^2$

also, the work done by a force is given by

$\text{work}=\text{ force}\cdot dis\tan ce$

then, let

$\begin{gathered} \text{work}=\text{ 110095 J} \\ \text{Force}=8450\text{ N} \end{gathered}$

replace

$\begin{gathered} \text{work}=\text{ force}\cdot dis\tan ce \\ 110095\text{ J=8450 N}\cdot distnace \\ \text{divide both sides by 8450 N} \\ \frac{110095\text{ J}}{\text{8450 N}}\text{=}\frac{\text{8450 N}\cdot}{\text{8450 N}}distance \\ 13.02m=\text{distance} \end{gathered}$

therefore, the answer is

13.02 meters

I hope this helps you