Lakepointe 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 1.15x10^5 J of work on you as it lifts the entire distance. If your mass is 60.0 kg, how tall is the building? Ignore the effects of friction.

Respuesta :

Given the information supplied in the question, the height of the building is  196 m.

The work done on you is a work done in a gravitational field. Recall that the work done in a gravitational field is given by mgh where;

m = mass of the body

g = acceleration due to gravity

h = height

Given that;

Work done = 1.15x10^5 J

Acceleration due to gravity = 9.8 ms-2

Mass =  60.0 kg

Substituting values;

h = W/mg

h =  1.15x10^5 J/ 60.0 kg ×  9.8 ms-2

h = 196 m

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