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 80 Joules 80 Joules 194 Joules 194 Joules 40 Joules 40 Joules 392 Joules 392 Joules

Answer 1

To calculate the work done on the box, we can use the formula for work:

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

where:

• Force = 98 Newtons
• Distance = 4 meters (the length of the ramp)
• \(\theta\) is the angle between the force and the direction of motion. If the force is applied along the ramp, \(\theta = 0\), and \(\cos(0) = 1\).

So, the work done can be calculated as:

\[ \text{Work} = 98 , \text{N} \times 4 , \text{m} \times 1 = 392 , \text{Joules} \]

Thus, the correct answer is 392 Joules.