SOLUTION: Hi! I'm having trouble with part "c" on this word problem: Hooke's Law states that the force needed to keep a spring stretched x units beyond its natural length is directly pr

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Question 197435: Hi! I'm having trouble with part "c" on this word problem:

Hooke's Law states that the force needed to keep a spring stretched x units beyond its natural length is directly proportional to x.
(a) Write Hooke's Law as an equation. Use k for the constant of proportionality
(b) If a spring has a natural length of 8 cm and a force of F = 48 N is required to maintain the spring stretched to a length of 16 cm, find the spring constant
(c) What force is needed to keep the spring stretched to a length of 14 cm?
thanks!

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
(a) F = k * x

(b) 48 = k * (16-8) ___ 48 = k * 8
dividing by 8 ___ 6 = k

(c) F = 6 * (14-8) ___ F = 6 * 6 ___ F = 36