Question

A 75.0-kg person climbs stairs, gaining 2.50 m in height. Find the work done to accomplish this task.

a) 1,850 J
b) 1,875 J
c) 1,925 J
d) 1,950 J

Answer 1

The work done to climb the stairs is approximately 1,837.5 J.

Step-by-step explanation:

The work done to climb the stairs can be calculated using the formula:

work = force × distance

Since the person is climbing vertically, the force can be calculated using the formula:

force = mass × gravity

Substituting the known values, we get:

force = 75.0 kg × 9.8 m/s² = 735 N

Now, substituting the force and distance into the work formula:

work = 735 N × 2.50 m = 1,837.5 J

Therefore, the work done to climb the stairs is approximately 1,837.5 J.