Question

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 -199000 J of potential energy. If the 192 lb 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.

Answer 1

595.08 m

Step-by-step explanation:

m = Mass of person

g = Acceleration due to gravity = 9.81 m/s²

h = Height

Potential energy of the tourist at his floor = -199000 Joules

Potential energy of the tourist at the top = 0

This means that the top of the building is being considered as height zero

Potential energy is given by

`PE=mgh\\\Rightarrow h=(PE)/(mg)\\\Rightarrow h=(199000)/((192)/(2.20462)* 9.81)\\\Rightarrow h=232.92\ m`

Height from the ground will be 828-232.92 = 595.08 m