Question

A 92 kg man changes his elevation from 30 m high to 60 m high. How much work was done to complete this change in elevation?"

A) 18,400 J

B) 0.92 J

C) 5,200 J

D) 9,200 J

Answer 1

The work done by a 92 kg man increasing his height from 30 m to 60 m, using gravitational potential energy calculation and gravity approximated as 10 m/s², is 27,600 J, which is not listed in the provided options and suggests an error in the multiple choice answers.

Step-by-step explanation:

The work done by a 92 kg man changing his elevation from 30 m to 60 m can be calculated using the formula for gravitational potential energy, which is work done = mass × gravity × height change. The acceleration due to gravity is 9.8 m/s².

So the work done is as follows:
Work done = 92 kg × 9.8 m/s² × (60 m - 30 m) = 92 kg × 9.8 m/s² × 30 m = 27,216 J

However, this value is not listed in the provided multiple choice answers, which suggests there may be an error. If rounding is considered and we approximate gravity as 10 m/s², the work done is closer to:
Work done = 92 kg × 10 m/s² × 30 m = 27,600 J