Question

During the "Power Lab", Andrew runs up the stairs, elevating his 79.5 kg body a vertical distance of 2.29 meters in a time of 1.32 seconds. Calculate the power generated by Andrew. (g = 9.8 m/s2)

Answer 1

1351.62 Watts.

Step-by-step explanation:

The following data were obtained from the question:

Mass (m) = 79.5 kg

Height (h) = 2.29 m

Time (t) = 1.32 s

Acceleration due to gravity (g) = 9.8 m/s²

Power =?

Next, we shall determine the potential energy of the boy. This can be obtained as follow:

Potential energy (PE) = mass × acceleration × height

PE = m × g × h

Mass (m) = 79.5 kg

Height (h) = 2.29 m

Acceleration due to gravity (g) = 9.8 m/s²

Potential energy (PE) =?

PE = m × g × h

PE = 79.5 × 9.8 × 2.29

PE = 1784.139 J

Finally, we shall determine the power generated by Andrew as illustrated below:

Energy (E) = 1784.139 J

Time (t) = 1.32 s

Power (P) =?

P = E/t

P = 1784.139 /1.32

P = 1351.62 watts

Therefore, the power generated by Andrew was 1351.62 watts