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

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.4: Applications

Problem 8EQ

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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

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