Question

A horse can produce 60,000 W of power when he pulls a wagon. The horse pulls with

20,000 N of force for a time of 80 s. What is the distance traveled by the horse.

Answer 1

The horse traveled 240 meters

Step-by-step explanation:

In this example we are given power, the applied/resultant force, and time.

We can use the following equations to evaluate the distance.

`\boxed{\sf Work=Power\cdot Time}`

`\boxed{\sf Work=Force\cdot Distance}`

We can set them equal to each other.

`\sf Force \cdot Distance=Power\cdot Time`

We can isolate Distance by dividing both sides of the equation by Force.

`\sf Distance=(Power\cdot Time)/(Force)`

Now we have an equation to evaluate the distance.

Numerical Evaluation

In this example we are given

`\sf Power=60000 \\Time=80\\Force=20000`

Substituting our values into our equation for Distance yields

`\sf Distance=(60000\cdot 80)/(20000)`

`\sf Distance=(4800000)/(20000)`

`\sf Distance=240`

Lets figure out what unit we end up with.

When you multiply watts by seconds, you get the unit of energy, which is joules (J). When you divide joules by newtons, you get the unit of distance, which is meters (m).