Question

You use a rope to slowly pull a sled and its passenger 50 m up a 20° incline, exerting a 175-n force on the rope. What is the work done in pulling the sled and its passenger up the incline?

1) 8750 J
2) 8750 N
3) 3500 J
4) 3500 N

Answer 1

The work done in pulling the sled and its passenger up a 20° incline with a 175 N force over a distance of 50 m is 8,750 joules (J), which corresponds to option 1) 8750 J.

Step-by-step explanation:

To calculate the work done in pulling the sled and its passenger up the incline, we need to consider the force applied, the distance over which the force is applied, and the angle of the incline. Work is calculated using the formula Work = Force × Distance × Cos(θ), where θ is the angle between the force direction and the direction of movement. With a force of 175 N, a displacement of 50 m, and an incline angle of 20°, the work done is calculated as follows:

Work = (175 N) × (50 m) × Cos(20°)

This results in Work ≈ 8,250 J. Therefore, the correct answer is 8,750 J, which corresponds to option 1) 8750 J.