Question

A 75.0kg person climbs stairs, gaining 2.50 meters in height. Find the work done to accomplish this task. (Neglect friction in your calculations.)

a) 1.84 kJ
b) 0.74 kJ
c) 186 J
d) 735 J

Answer 1

The work done to climb the stairs is 735 Joules (J).

Step-by-step explanation:

To find the work done to climb the stairs, we can use the formula:

Work = Force × Distance

In this case, the force exerted is the weight of the person, which is equal to their mass times the acceleration due to gravity. So, Force = 75.0 kg × 9.8 m/s2.

The distance climbed is given as 2.50 meters.

Plugging in these values into the formula, we get:

Work = (75.0 kg × 9.8 m/s2) × 2.50 m

Simplifying the calculation, we find that the work done to climb the stairs is 735 Joules (J).