A person using a lever applies 98 Newtons to lift a 20-kilogram box. They apply the force over a distance of 4 meters to lift the box a distance of 2 meters. How much work is done?(1 point) Responses 80 Joules 80 Joules 40 Joules 40 Joules 392 Joules 392 Joules 196 Joules
To calculate the work done, we use the formula:
Work = force x distance
First, let's calculate the force exerted over the distance to lift the box:
Force = 98 N (given in the question)
Now, let's calculate the force required to lift the box:
Weight of the box = mass x gravity
= 20 kg x 9.8 m/s^2
= 196 N
Since the lever can multiply the force, the actual force applied to lift the box is:
Force applied = Force needed / Mechanical advantage
= 196 N / 98 N
= 2 N
Now we can calculate the work done:
Work = force x distance
= 2 N x 4 m
= 8 Joules
Therefore, the correct answer is: 8 Joules.