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 194 Joules

1 answer

To find the work done, we can use the formula for work, which is:

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

where:

  • \( \text{Force} \) is the applied force (in Newtons),
  • \( \text{Distance} \) 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 case, the force is applied parallel to the ramp. We'll assume that the force applied is in the same direction as the displacement, so \( \theta = 0^\circ \) and \( \cos(0^\circ) = 1\).

Given:

  • Force = 98 N
  • Distance (along the ramp) = 4 m

Using the formula for work:

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

Therefore, the work done is 392 Joules.