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 6.80 kgobject is hung from the other end, the length of the spring is45.50 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 of180 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 of180 N. Find the length of the springin this situation.
2 m

Explanation / Answer

unstreached length L = 38 cm = 0.38 m mass m = 6.8 kg Streached length L ' = 45.5 cm                                = 0.454 m streachness x = L ' - L = 0.074 m (a). At equilibrium kx = mg from this spring constant k = mg / x                                         = 900.54 N / m

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