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One End of a Stiff Spring Is Attached Firmly to the Ceiling

Question 47

Multiple Choice

One end of a stiff spring is attached firmly to the ceiling of a workshop (see figure) . The load F (in pounds) required to stretch the spring by x inches is given by F = kx, where k is the stiffness constant Of the spring.  One end of a stiff spring is attached firmly to the ceiling of a workshop (see figure) . The load F (in pounds)  required to stretch the spring by x inches is given by F = kx, where k is the stiffness constant Of the spring.   a. Solve F = kx for x. b. How far will the spring stretch if its stiffness constant is 5 lb/in and it is loaded with a weight of 25.5 lb? Round to the nearest tenth of an inch.  A)  a.  x = \frac { F } { k }  b.  5.1  in.  B)  а.  x = \frac { k } { F }  b.  0.2  in.  C)  a.  x = k F  b.  127.5 \mathrm { in } .  D)  a.  x = F - k  b.  20.4 \mathrm { in } . a. Solve F = kx for x.
b. How far will the spring stretch if its stiffness constant is 5 lb/in and it is loaded with a weight of 25.5 lb? Round to the nearest tenth of an inch.


A) a. x=Fkx = \frac { F } { k }
b. 5.15.1 in.

B) а. x=kFx = \frac { k } { F }
b. 0.20.2 in.

C) a. x=kFx = k F
b. 127.5in127.5 \mathrm { in } .

D) a. x=Fkx = F - k
b. 20.4in20.4 \mathrm { in } .

Correct Answer:

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