Hooke\'s law describes a certain light spring of unstretched length35.0 cm. When

Question

Hooke's law describes a certain light spring of unstretched length35.0 cm. When one end is attached tothe top of a door frame, and a 8.80-kgobject is hung from the other end, the length of the spring is46.00 cm. (a) Find its spring constant.
1 kN/m

(b) The load and the spring are taken down. Two people pull inopposite directions on the ends of the spring, each with a force of200 N. Find the length of the springin this situation.
2 m
(a) Find its spring constant.
1 kN/m

(b) The load and the spring are taken down. Two people pull inopposite directions on the ends of the spring, each with a force of200 N. Find the length of the springin this situation.
2 m

Explanation / Answer

a) f = kx x = (.46 - .35) = .11 m F = mg = (8.80 x 9.8) = k x .11 k = 784 N/m = .784 kN/m b) x = f/k foce = 200 N x = 200/784 = .255 m (extension) total length: .255+.35 = .605 m

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