21. Find the work done in stretching a spring of natural length 8 cm, from 10 cm to 13 cm. Assume a force of 6 N is needed to hold it a length of 11 cm. The work done in stretching a spring of stiffness k at length of x is, W=0.5kx². a. 21 N-m c. 0.21 N-m d. 0.021 N-m b. 2.1 N-m
21. Find the work done in stretching a spring of natural length 8 cm, from 10 cm to 13 cm. Assume a force of 6 N is needed to hold it a length of 11 cm. The work done in stretching a spring of stiffness k at length of x is, W=0.5kx². a. 21 N-m c. 0.21 N-m d. 0.021 N-m b. 2.1 N-m
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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Question
Answer the following with the correct letter. If the answer is not on the choices given, indicate the correct answer. Show formal solution comprehensively and legibly (only applicable to computational items).
![21. Find the work done in stretching a spring of natural length 8 cm, from 10 cm to 13
cm. Assume a force of 6 N is needed to hold it a length of 11 cm. The work done in stretching a
spring of stiffness k at length of x is, W=0.5kx².
a. 21 N-m
c. 0.21 N-m
d. 0.021 N-m
b. 2.1 N-m
22. How much work is required to pump all the water from a right circular cylindrical tank,
that is 8 feet in diameter and 9 feet tall, if it is emptied above the tank? Specific gravity of water is
62.4 lb/ft³
a. 127,031 ft-lb
c. 327,031 ft-lb
b. 227,031 ft-lb
d. 427,031 ft-lb
23. The volume of the three-dimensional region E is given by the integration formula
a. V = fff f(x,y,z) dv
b. V = fff f(x,y) dA
c. V = fff f(x,y,z) dA
d. V = -fff f(x,z) dv](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b9e1b16-4440-431e-b9fc-dd52fdad0e5a%2Feaf03880-260c-41f5-bc22-8c2e7bcdd5c2%2Fz9w6d4a_processed.png&w=3840&q=75)
Transcribed Image Text:21. Find the work done in stretching a spring of natural length 8 cm, from 10 cm to 13
cm. Assume a force of 6 N is needed to hold it a length of 11 cm. The work done in stretching a
spring of stiffness k at length of x is, W=0.5kx².
a. 21 N-m
c. 0.21 N-m
d. 0.021 N-m
b. 2.1 N-m
22. How much work is required to pump all the water from a right circular cylindrical tank,
that is 8 feet in diameter and 9 feet tall, if it is emptied above the tank? Specific gravity of water is
62.4 lb/ft³
a. 127,031 ft-lb
c. 327,031 ft-lb
b. 227,031 ft-lb
d. 427,031 ft-lb
23. The volume of the three-dimensional region E is given by the integration formula
a. V = fff f(x,y,z) dv
b. V = fff f(x,y) dA
c. V = fff f(x,y,z) dA
d. V = -fff f(x,z) dv
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