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

Step-by-step 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=(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