Map sapling earning The Burj Khalifa in Dubai is the world\'s tallest building.

Question

Map sapling earning The Burj Khalifa in Dubai is the world's tallest building. The structure is 828 m (2,716.5 feet) and has more than 160 stories. A tourist is obviously using the elevator to reach their hotel room and after a long ride finally arrives at the correct floor where the tourist has -183000 J of potential energy. If the 87.7 kg tourist has zero potential energy at the top of the building, how high is the hotel room from the ground? The acceleration due to gravity is 9.81 m/s2 Number

Explanation / Answer

Mass(m) = 87.7kg

gravity = 9.81 m/s^2

potential energy(E) = -183000 J

E = m*g*h

-183000 = 87.7*9.8*h

h = (-183000) / (87.7*9.8)

h = -212.924 m

total structure height = 828m

height above ground = 828 - 212.924

                                  = 615.08 m

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