A student approaches the outdoor staircase near Hope Commons, and takes a deep breath before attempting to climb all 30 stairs. At the bottom of the stairs, the student (61.8 kg) is moving at 2.00 m/s; at the top of the stairs the student is tired and only moving at 0.500 m/s. The top of the stairs is 7.50 meters higher than the bottom of the stairs. What is the change in mechanical energy

Change in mechanical energy, ΔE = 4426.425 J

Explanation:

Mass of the student, m = 61.8 kg

At the bottom of the stairs:

speed,

Mechanical Energy at the bottom of the stairs,

The potential energy while the boy was transiting from the bottom of the stairs to the top of the stairs.

Difference in height between top and bottom of stairs, h = 7.5m

At the top of stairs,

Kinetic energy at the top of stairs,

Total Mechanical energy at the top of the stairs,

Change in mechanical energy, ΔE =

ΔE = 550.025 - 123.6

ΔE = 4426.425 J

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