a 50 kg student who is late runs up two flights of stairs whose combined vertical height is 7.0 m in 10 s (and he then silently enters the classroom while the professor is writing on the chalkboard).Calculate the student's power output in doing work against gravity in a) watts, b) kilowatss, and c)horsepower

Power = M*g*H/time = 343 watts

You can surely convert that to kW

746 W = 1 hp. Do the conversion

In kilowatts and horsepower

To calculate the student's power output in doing work against gravity, we need to use the formula:

Power = Work / Time

First, let's calculate the work done against gravity by the student. The work done against gravity is given by the formula:

Work = Force * Distance

The force can be calculated using the formula:

Force = Mass * Acceleration due to gravity

The acceleration due to gravity is approximately 9.8 m/s².

Given:
Mass of the student (m) = 50 kg
Vertical height of the stairs (d) = 7.0 m
Time taken (t) = 10 s
Acceleration due to gravity (g) = 9.8 m/s²

a) To calculate the student's power output in watts:

1. Calculate the force:
Force = Mass * Acceleration due to gravity
Force = 50 kg * 9.8 m/s²

2. Calculate the work done:
Work = Force * Distance
Work = (50 kg * 9.8 m/s²) * 7.0 m

3. Calculate the power:
Power = Work / Time
Power = (50 kg * 9.8 m/s² * 7.0 m) / 10 s

b) To convert the power to kilowatts:

1 watt (W) = 0.001 kilowatts (kW)
Therefore, divide the power (in watts) by 1000 to convert to kilowatts.

c) To convert the power to horsepower:

1 watt (W) ≈ 0.00134 horsepower (hp)
Therefore, divide the power (in watts) by approximately 746 to convert to horsepower.