Force and Work Unit Test 5 of 125 of 12 Items Question A person applies 98 Newtons of force to a 20 kilogram box. They apply the force to the box over a 4-meter ramp, raising the box 2 meters from the ground. How much work is done?

A: 392 Joules
B: 80 Joules
C: 40 Joules
D: 194 Joules

1 answer

To calculate the work done, we can use the formula:

Work = force x distance

The force applied is 98 Newtons, the distance moved along the ramp is 4 meters, and the height lifted is 2 meters. Since force is applied at an angle, we need to calculate the component of the force in the direction of the movement along the ramp.

The force component along the ramp can be calculated as:

Force along the ramp = Force applied x cos(angle)

Since the angle is not given, we assume it to be 0 degrees (force is applied parallel to the ramp), so the entire force is along the direction of movement.

Therefore, the work done is:

Work = 98 N x 4 m = 392 Joules

Therefore, the correct answer is A: 392 Joules.