An elevator with a mass of 200kg rests st a level of 10m above the base of an elevator shaft. It is raised to 100m above the base of the shift, where the cable holding it breaks. The elevator falls freely to the base of the shift and strike s a strong spring. The spring is designed to bring an elevator to rest. and by means of a catch arrangement to hold the elevator at the position of maximum spring compression. Assuming the entire process to be frictionless and taking g=9.8m/s; calculate 1. The potential energy of the elevator in its initial position relative to the the base of the shaft. 2. The work done in raising the elevator. 3. The potential energy of the elevator in its highest position relative to the base of the shaft. 4. The velocity and kinetic energy of the elevator just before it strikes the spring.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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An elevator with a mass of 200kg rests st a level
of 10m above the base of an elevator shaft. It is
raised to 100m above the base of the shift,
where the cable holding it breaks. The elevator
falls freely to the base of the shift and strike s a
strong spring. The spring is designed to bring an
elevator to rest. and by means of a catch
arrangement to hold the elevator at the position
of maximum spring compression. Assuming the
entire process to be frictionless and taking
g=9.8m/s; calculate
1. The potential energy of the elevator in its
initial position relative to the the base of the
shaft.
2. The work done in raising the elevator.
3. The potential energy of the elevator in its
highest position relative to the base of the shaft.
4. The velocity and kinetic energy of the elevator
just before it strikes the spring.
Transcribed Image Text:An elevator with a mass of 200kg rests st a level of 10m above the base of an elevator shaft. It is raised to 100m above the base of the shift, where the cable holding it breaks. The elevator falls freely to the base of the shift and strike s a strong spring. The spring is designed to bring an elevator to rest. and by means of a catch arrangement to hold the elevator at the position of maximum spring compression. Assuming the entire process to be frictionless and taking g=9.8m/s; calculate 1. The potential energy of the elevator in its initial position relative to the the base of the shaft. 2. The work done in raising the elevator. 3. The potential energy of the elevator in its highest position relative to the base of the shaft. 4. The velocity and kinetic energy of the elevator just before it strikes the spring.
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