A common technique used to measure the force constant of a spring is demonstrated by the setup in Figure 1. The spring is hung vertically (Figure 1a), and a Sagada orange of mass m is attached to its lower end. Under the action of the "load" mg, the spring stretches a distance d from its equilibrium position (Figure 1b). (A) If a spring is stretched 2.0 cm by a suspended Sagada orange having a mass of 0.55 kg, what is the force constant of the spring? (B) How much work is done by the spring on the object as it stretches through this distance?

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A common technique used to measure the force constant of a spring is demonstrated by the
setup in Figure 1. The spring is hung vertically (Figure 1a), and a Sagada orange of mass m
is attached to its lower end. Under the action of the "load" mg, the spring stretches a
distance d from its equilibrium position (Figure 1b). (A) If a spring is stretched 2.0 cm by a
suspended Sagada orange having a mass of 0.55 kg, what is the force constant of the spring?
(B) How much work is done by the spring on the object as it stretches through this distance?
IŢ
mg
(b)
(c)
Figure 1. Determining the force constant k of a spring. The elongation d is caused by the
attached object, which has a weight mg.
Transcribed Image Text:A common technique used to measure the force constant of a spring is demonstrated by the setup in Figure 1. The spring is hung vertically (Figure 1a), and a Sagada orange of mass m is attached to its lower end. Under the action of the "load" mg, the spring stretches a distance d from its equilibrium position (Figure 1b). (A) If a spring is stretched 2.0 cm by a suspended Sagada orange having a mass of 0.55 kg, what is the force constant of the spring? (B) How much work is done by the spring on the object as it stretches through this distance? IŢ mg (b) (c) Figure 1. Determining the force constant k of a spring. The elongation d is caused by the attached object, which has a weight mg.
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