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

Answer:

$\boxed {\boxed {\sf 3 \ meters}}$

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.

$\frac{150 \ N*m}{50 \ N }=\frac{50 \ N * d}{50 \ N }$

The Newtons will cancel out.

$\frac{150 \ m }{50} =d \\3 \ m =d$

The rock was lifted 3 meters.