Question

the distance that a spring will stretch varies directly as the force applied to the spring. A force of 12 pounds is needed to stretch a spring 9 inches. What force is required to stretch the spring 15 inches?

Answer 1

Answer:Force required, F = 20 pounds

Step-by-step explanation:

We have given,

force needed to stretch a spring , F = 12 pounds

Stretched length, x = 9 inches

Since, spring force formula can be given as: F = kx

i.e 12 = k · 9

or k =  = 4/3

Now we need to find force for the stretch length = 15 inches

i.e F = kx   , here x =15inches , k = 4/3 and F= ?

or F = (4/3) · 15

or F = 20 pounds

Hence force required, F= 20 pounds

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Step-by-step explanation:

Answer 2

Answer:

Force required, F = 20 pounds

Step-by-step explanation:

We have given,

force needed to stretch a spring , F = 12 pounds

Stretched length, x = 9 inches

Since, spring force formula can be given as: F = kx

i.e 12 = k · 9

or k = $\frac{12}{9}$ = 4/3

Now we need to find force for the stretch length = 15 inches

i.e F = kx   , here x =15inches , k = 4/3 and F= ?

or F = (4/3) · 15

or F = 20 pounds

Hence force required, F= 20 pounds