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? (1 point)
Responses

392 Joules
392 Joules

80 Joules
80 Joules

40 Joules
40 Joules

194 Joules

Answer 1

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

\[
\text{Work} = \text{Force} \times \text{Distance} \times \cos(\theta)
\]

Where:
- Force is the applied force in Newtons.
- Distance is the distance over which the force is applied in meters.
- \(\theta\) is the angle between the force and the direction of movement.

In this scenario, since the force is applied parallel to the ramp, the angle \(\theta\) is 0 degrees. Thus, \(\cos(0) = 1\).

Given:
- Force = 98 Newtons
- Distance = 4 meters

Now we can calculate the work done:

\[
\text{Work} = 98 \, \text{N} \times 4 \, \text{m} \times \cos(0) = 98 \times 4 = 392 \, \text{Joules}
\]

The correct response is:

**392 Joules**