A boy with a mass of 50 kg climbs 40m vertically when walking up the stairs of the campus. How much work does he do against gravity?
work = force * distance, so 50*9.81*40 = 1962J
To determine the amount of work the boy does against gravity, we need to calculate the gravitational potential energy change during his ascent.
The formula for gravitational potential energy is:
Potential Energy = mass * gravitational acceleration * height,
where mass is the object's mass, gravitational acceleration is typically 9.8 m/s², and height is the vertical distance moved.
Plugging in the given values, we have:
Mass = 50 kg,
Acceleruaton due to gravity = 9.8 m/s²,
Height = 40 m.
Potential Energy = 50 kg * 9.8 m/s² * 40 m.
Now, we can calculate the work done against gravity:
Work = Potential Energy.
Let's compute the answer:
Potential Energy = 50 kg * 9.8 m/s² * 40 m,
Potential Energy = 19600 J.
Therefore, the amount of work done by the boy against gravity is 19600 Joules (J).