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

194 Joules
194 Joules

40 Joules

1 answer

To find the work done in this scenario, we can use the formula for work:

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

where:

  • \( F \) is the force applied,
  • \( d \) is the distance over which the force is applied,
  • \( \theta \) is the angle between the force and the direction of movement.

In this case, the force applied is 98 Newtons, and the box moves a distance of 4 meters along the ramp. Since the force is in the direction of movement (up the ramp), we can consider the angle \( \theta = 0 \) degrees, leading to \( \cos(0) = 1 \).

Thus, the work done by the person is:

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

Therefore, the answer is:

392 Joules