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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.

Respuesta :

Answer:

 h = 599.5 m

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

[tex]d = \frac{PE}{mg}[/tex]

[tex]d = \frac{187000}{83.43\times 9.81}[/tex]

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.

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