Lake Point Tower in Chicago is the tallest apartment building in the United States (although not the tallest building in which there are apartments).Suppose you take the elevator from street level to the roof of the building.The elevator moves almost the entire distance at constant speed,so that it does 1.15 ×105J ofwork on you as it lifts the entire distance.Ifyour mass is 60.0 kg,how tall is the building? Ignore the effects offriction.

Question

Lake Point Tower in Chicago is the tallest apartment building in the United States (although not the tallest building in which there are apartments).Suppose you take the elevator from street level to the roof of the building.The elevator moves almost the entire distance at constant speed,so that it does 1.15 ×105J ofwork on you as it lifts the entire distance.Ifyour mass is 60.0 kg,how tall is the building? Ignore the effects offriction.

Answer 1

m g H = 1.15*10^5 J

m = 60 kg
g = 9.8 m/s^2
Solve for H, which will be in meters

Answer 2

To find the height of the building, we can use the concept of work and potential energy.

The work done by the elevator on you can be calculated using the equation:

Work = Force x Distance

In this case, the force is equal to your weight, which is given by the equation:

Force = mass x gravity

Let's calculate it step by step:

Step 1: Calculate the force (your weight):
Force = mass x gravity
= 60.0 kg x 9.8 m/s^2
= 588 N

Step 2: Calculate the distance (height) of the building:
Work = Force x Distance
1.15 × 10^5 J = 588 N x Distance

Rearranging the equation:
Distance = 1.15 × 10^5 J / 588 N
Distance = 195.58 meters

Therefore, the height of the building is approximately 195.58 meters.

Answer 3

To find the height of the building, we can use the work-energy principle, which states that the work done on an object is equal to the change in its potential energy.

In this case, the work done by the elevator is equal to the change in potential energy of the person:

Work done = change in potential energy

The work done by the elevator is given as 1.15 × 10^5 J (joules). The change in potential energy can be calculated using the formula:

Change in potential energy = mass × gravity × height

In this case, the mass of the person is given as 60.0 kg and the value of gravity is approximately 9.8 m/s^2.

So, plugging in the values, we have:

1.15 × 10^5 J = 60.0 kg × 9.8 m/s^2 × height

Solving for the height, we get:

Height = (1.15 × 10^5 J) / (60.0 kg × 9.8 m/s^2)

Height ≈ 196.72 meters

Therefore, the height of the building is approximately 196.72 meters.

m g H = 1.15*10^5 J

To find the height of the building, we can use the concept of work and potential energy.

To find the height of the building, we can use the work-energy principle, which states that the work done on an object is equal to the change in its potential energy.

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