Answer :
The work done is b) 2,050 ft-lb.
The formula for work done against gravity:
[tex]W = F \times d[/tex]
Where:
- W is the work done (in foot-pounds).
- F is the force applied (which, in this case, is the weight being carried, in pounds).
- d is the distance moved in the direction of the force (in feet).
First, we need to determine the total weight being carried up the stairs. This is the sum of the person's weight and the bag's weight:
155 pounds (person) + 50 pounds (bag) = 205 pounds (total weight)
Next, we know that the height of the stairs is 10 feet, which is the distance (d) in our formula.
Now, we can calculate the work done:
[tex]W = 205 \text{ lbs} \times 10 \text{ feet}[/tex]
[tex]W = 2050 \text{ foot-pounds}[/tex]
