d. At a construction site, a crane lifts a steel beam with a mass of 330 kg. i. What is the gravitational potential energy added to the steel beam when the beam reaches a height of 18.4 m? ii. At what height would the steel beam have a gravitational potential energy of 100,000 J? iii. While it is being lifted, the steel beam is at a height of 20 m and is moving with a speed of 1.3 m/s. What is the total mechanical energy of the steel beam at this moment? iv. With the beam being held still at a height of 40 m, the crane breaks and the beam falls to the ground. Assuming no air resistance, how much total energy will the beam have just as it hits the ground? V. At what speed will the beam hit the ground?
d. At a construction site, a crane lifts a steel beam with a mass of 330 kg. i. What is the gravitational potential energy added to the steel beam when the beam reaches a height of 18.4 m? ii. At what height would the steel beam have a gravitational potential energy of 100,000 J? iii. While it is being lifted, the steel beam is at a height of 20 m and is moving with a speed of 1.3 m/s. What is the total mechanical energy of the steel beam at this moment? iv. With the beam being held still at a height of 40 m, the crane breaks and the beam falls to the ground. Assuming no air resistance, how much total energy will the beam have just as it hits the ground? V. At what speed will the beam hit the ground?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:d. At a construction site, a crane lifts a steel beam with a mass of 330 kg.
i. What is the gravitational potential energy added to the steel beam when the beam reaches a
height of 18.4 m?
ii. At what height would the steel beam have a gravitational potential energy of 100,000 J?
iii. While it is being lifted, the steel beam is at a height of 20 m and is moving with a speed of
1.3 m/s. What is the total mechanical energy of the steel beam at this moment?
iv. With the beam being held still at a height of 40 m, the crane breaks and the beam falls
to the ground. Assuming no air resistance, how much total energy will the beam have just as
it hits the ground?
V. At what speed will the beam hit the ground?
&
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