Answer :
Let's break down the problem and find Felipe's power output step-by-step.
1. Determine the work done:
- Work done is calculated using the formula:
[tex]\[ \text{Work} = \text{Force} \times \text{Distance} \][/tex]
- In this scenario, the force is due to Felipe's weight, which is given as 50 pounds.
- The distance is the height of the flight of stairs, which is 4 feet.
- Thus,
[tex]\[ \text{Work} = 50 \, \text{pounds} \times 4 \, \text{feet} = 200 \, \text{foot-pounds (ft-lbs)} \][/tex]
2. Determine the power output:
- Power is the rate at which work is done, calculated using the formula:
[tex]\[ \text{Power} = \frac{\text{Work}}{\text{Time}} \][/tex]
- From the problem, the time Felipe takes to run up the stairs is given as 10 seconds.
- Substituting the values,
[tex]\[ \text{Power} = \frac{200 \, \text{ft-lbs}}{10 \, \text{seconds}} = 20 \, \text{ft-lbs/sec} \][/tex]
Thus, Felipe's power output is 20 ft-lbs/sec.
The correct answer is:
[tex]\[ \boxed{20 \, \text{ft-lbs/sec}} \][/tex]
1. Determine the work done:
- Work done is calculated using the formula:
[tex]\[ \text{Work} = \text{Force} \times \text{Distance} \][/tex]
- In this scenario, the force is due to Felipe's weight, which is given as 50 pounds.
- The distance is the height of the flight of stairs, which is 4 feet.
- Thus,
[tex]\[ \text{Work} = 50 \, \text{pounds} \times 4 \, \text{feet} = 200 \, \text{foot-pounds (ft-lbs)} \][/tex]
2. Determine the power output:
- Power is the rate at which work is done, calculated using the formula:
[tex]\[ \text{Power} = \frac{\text{Work}}{\text{Time}} \][/tex]
- From the problem, the time Felipe takes to run up the stairs is given as 10 seconds.
- Substituting the values,
[tex]\[ \text{Power} = \frac{200 \, \text{ft-lbs}}{10 \, \text{seconds}} = 20 \, \text{ft-lbs/sec} \][/tex]
Thus, Felipe's power output is 20 ft-lbs/sec.
The correct answer is:
[tex]\[ \boxed{20 \, \text{ft-lbs/sec}} \][/tex]
