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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
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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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
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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