Hooke\'s law describes a certain light spring of unstressed length38.0 cm. When

Question

Hooke's law describes a certain light spring of unstressed length38.0 cm. When one end is attached tothe top of a door frame and a 6.40 kgobject is hung from the other end, the length of the spring is41.00 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 of160 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 of160 N. Find the length of the springin this situation.
2 m

Explanation / Answer

(a)   force = k x .         6.40 * 9.80 = k * 0.03 .    k = 2091 N/m = 2.091 kN/m . (b)    force = k x .     160 = 2091 * x . x =   0.0765 m   so the length of the spring is now   0.38 + 0.0765 = 0.4565m

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