Peter’s body supplies a force of 500 n to run up a 10-m hill in 10 s. how much power is involved in peter’s run up the hill? explain and show your work. first solve for work. then solve for power.

500 Watts

Explanation:

Power is the speed with which work is done. Its unit is Watts (), being .

Power is mathematically expressed as:

(1)

Where is the time during which work  is performed.

On the other hand, the Work done by a Force refers to the release of potential energy from a body that is moved by the application of that force to overcome a resistance along a path.  It is a scalar magnitude, and its unit in the International System of Units is the Joule (like energy). Therefore, 1 Joule is the work done by a force of 1 Newton when moving an object, in the direction of the force, along 1 meter (  ).

When the applied force is constant and the direction of the force and the direction of the movement are parallel, the equation to calculate it is:  

(2)

In this case, we have the following data:

So, let's calculate the work done by Peter and then find how much power is involved:

From (2):

(3)

(4)

Substituting (4) in (1):

(5)

Finally:

the displacement produced by the body.  

the amount of force subjected to the body.  

the angle between the direction of force and displacement