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A man exerted a force of 75.0 N to push a box up a 20° ramp for a distance of 3.00 meters. How much work did the man do?

a. 75.0 J

b. 150 J

c. 450 J

d. 900 J

1 Answer

5 votes

Final answer:

The work done by the man is 225 J, calculated using the formula for work, considering the angle of the applied force is 0° with respect to the direction of motion.

Step-by-step explanation:

The student asked how much work is done by a man who exerted a force of 75.0 N to push a box up a 20° ramp for a distance of 3.00 meters. To calculate work, we use the formula work (W) = force (F) × distance (d) × cos(θ), where θ is the angle of the force with respect to the direction of motion. Since the force is exerted parallel to the ramp, the angle θ is 0° and cos(0°) = 1. Thus, the work done is 75.0 N × 3.00 m × 1 = 225 J. The correct option (not listed in the provided choices) would be 225 J.