The Burj Khalifa in Dubai is the world's tallest building. The structure is 828 m 828 m (2716.5 ft) 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 - 2.01 * 10 5 J - 2.01*105 J of potential energy. If the 86.4 kg 86.4 kg tourist has zero potential energy at the top of the building, how high (h) (h) is the hotel room from the ground? The acceleration due to gravity is 9.81 m / s 2.

Question

Physics

Cooper Barron

2 January, 19:35

The Burj Khalifa in Dubai is the world's tallest building. The structure is 828 m 828 m (2716.5 ft) 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 - 2.01 * 10 5 J - 2.01*105 J of potential energy. If the 86.4 kg 86.4 kg tourist has zero potential energy at the top of the building, how high (h) (h) is the hotel room from the ground? The acceleration due to gravity is 9.81 m / s 2.

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Answers (1)

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Miguel Rhodes · Answer 1

h = height of the hotel room from the ground floor = 237.4m

Explanation:

Change in Potential Energy of tourist = ΔPE = PE2 - PE1 = mgh

PE1 is the potential energy of tourist at the ground floor

PE1 is the potential energy of tourist at the top (hotel room)

Given

PE1 = - 2.01 * 10⁵ J

PE2 = 0J

PE2 - PE1 = mgh

0 - ( - 2.01 * 10⁵ J) = mgh

2.01 * 10⁵ J = 86.4*9.8*h

h = 2.01 * 10⁵ / (86.4*9.8) = 237.4m