Question

A force of 50 N was necessary to lift a rock. A total of 150 J of work was done. How far was the rock lifted? ​

Answer 1

`\boxed {\boxed {\sf 3 \ meters}}`

Step-by-step explanation:

Work is the product of force and distance.

`W=F*d`

We know the force to lift the rock was 50 Newtons. The work was 150 Joules.

• 1 Joule is equal to 1 Newton meters.
• We can convert the units to make the problem simpler later. The work is also 150 Newton meters.

`W= 150 \ N*m \\F= 50 \ N`

Substitute the values into the formula.

`150 \ N*m= 50 \ N * d`

We want to solve for distance, so we must isolate the variable. Divide both sides of the equation by 50 Newtons.

`(150 \ N*m)/(50 \ N )=(50 \ N * d)/(50 \ N )`

The Newtons will cancel out.

`(150 \ m )/(50) =d \\3 \ m =d`

The rock was lifted 3 meters.