Question

A man whose mass is 84.6 kg runs up a flight of stairs and has a vertical gain of 19.5 m in a time of 11.7 s. What is the work done by the man?

1) 0 J
2) 1,000 J
3) 1,500 J
4) 2,000 J

Answer 1

The correct amount of work done by the man running up the stairs is approximately 16,276.59 J, which does not match any of the given answer choices, indicating a potential error in the options provided.

Step-by-step explanation:

To find the work done by the man running up the stairs, we can use the formula for gravitational potential energy, which is work done against gravity. The formula is Work (W) = mass (m) × gravitational acceleration (g) × height (h). Given that the man's mass (m) is 84.6 kg, the vertical gain (h) is 19.5 m, and the gravitational acceleration (g) on Earth is approximately 9.81 m/s2, we can calculate the work done.

W = 84.6 kg × 9.81 m/s2 × 19.5 m

W = 16276.59 J

After calculating, we can see that the closest answer from the given options is 16,000 J, but this option is not listed. Therefore, we should inform the student that there seems to be an error in the provided answer choices as the correct amount of work done does not match any of them.