76,455 views
40 votes
40 votes
A force is used to lift mass to a height of 8 m does 1040 J of work. How much force is used?

User Leon Van Der Walt
by
2.7k points

1 Answer

23 votes
23 votes

Answer:


image

Step-by-step explanation:

Work is the energy transferred to or from an object when force is applied to cause displacement. It is the product of force and displacement.


image

The displacement (s) is 8 meters and the work (W) is 1,040 Joules. Substitute these values into the formula.


image

First, let's convert the units. This will make the question easier later on. 1 Joule is equal to 1 Newton meter, so the 1040 J of work equal 1040 N*m.


image

Since we are solving for the force (F), we must isolate the variable. It is being multiplied by 8 meters and the inverse of multiplication is division. Divide both sides by 8 m.


image


image

The meters cancel out, hence our earlier unit conversion.


image

A force of 130 Newtons is used.

User AntonyMN
by
3.3k points