You pull a 5kg box vertically up with a constant 100N force for 2m. How much work do you do?

• A. 51 J
• B. 100 J
• C. 102 J
• D. 200 J
• E. 500 J
• F. 1000 J

Answer: (D)

Verified step by step guidance

1. Identify the formula for work done: Work (W) is calculated using the formula W = F * d * cos(θ), where F is the force applied, d is the displacement, and θ is the angle between the force and the direction of displacement.
2. Determine the values given in the problem: The force (F) applied is 100 N, the displacement (d) is 2 m, and since the force is applied vertically upwards, the angle (θ) between the force and displacement is 0 degrees.
3. Substitute the known values into the work formula: Since cos(0) = 1, the formula simplifies to W = 100 N * 2 m * 1.
4. Calculate the work done: Multiply the force by the displacement to find the work done, which is W = 100 N * 2 m.
5. Interpret the result: The work done is the energy transferred to the box by the force, moving it vertically upwards over the given distance.