An elevator with a mass of 2500 kg rest at a level of 7.5 m above the base of the elevator shaft. It is raised to 75 m when the cable holding it breaks. It falls freely to the base where it is brought to rest by a strong spring. Assume that the acceleration due to gravity is 9.81 m/s2. Neglecting the effect of friction, Calculate: (a) The potential energy of the elevator in its initial position. (b) The potential energy of the elevator in its highest position. (c) The work done in raising the elevator. (d) The kinetic energy and velocity of the elevator just before it strikes the spring. (e) The potential energy of the spring when the elevator rests on it.
An elevator with a mass of 2500 kg rest at a level of 7.5 m above the base of the elevator shaft. It is raised to 75 m when the cable holding it breaks. It falls freely to the base where it is brought to rest by a strong spring. Assume that the acceleration due to gravity is 9.81 m/s2. Neglecting the effect of friction, Calculate: (a) The potential energy of the elevator in its initial position. (b) The potential energy of the elevator in its highest position. (c) The work done in raising the elevator. (d) The kinetic energy and velocity of the elevator just before it strikes the spring. (e) The potential energy of the spring when the elevator rests on it.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Transcribed Image Text:An elevator with a mass of 2500 kg rest at a level of 7.5 m above the base of the elevator shaft.
It is raised to 75 m when the cable holding it breaks. It falls freely to the base where it is brought
to rest by a strong spring. Assume that the acceleration due to gravity is 9.81 m/s2. Neglecting
the effect of friction, Calculate: (a) The potential energy of the elevator in its initial position. (b)
The potential energy of the elevator in its highest position. (c) The work done in raising the
elevator. (d) The kinetic energy and velocity of the elevator just before it strikes the spring. (e)
The potential energy of the spring when the elevator rests on it.
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