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 − 187000 J of potential energy. If the 184 lb tourist has zero potential energy at the top of the building, what is the height h of the hotel room above the ground? The acceleration due to gravity is 9.81 m/s2.

Answer 1

h = 599.5 m

Step-by-step explanation:

Given,

height of structure = 828 m

weight of the tourist = 184 lb

= 184 x 0.45359 = 83.43 Kg

Potential energy = 187000 J

PE = m gd

`d = (PE)/(mg)`

`d = (187000)/(83.43* 9.81)`

h = 228.5 m

Height of the room above the ground.

h = 828 - 228.5

h = 599.5 m

Height of the floor above ground is equal to 599.5 m.