Question

A force is used to lift mass to a height of 8 m does 1040 J of work. How much force is used?

Answer 1

`\boxed {\boxed {\sf 130 \ Newtons }}`

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.

`W=F*s`

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

`1040 \ J= F* 8 \ m`

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.

`1040 \ N*m= F * 8 \ m`

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.

`\frac {1040 \ N*m}{8 \ m}= (F * 8 \ m)/(8 \ m)`

`\frac {1040 \ N*m}{8 \ m}=F`

The meters cancel out, hence our earlier unit conversion.

`130 \ N = F`

A force of 130 Newtons is used.