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Hooke's Law

Instructions: Answer the following questions, based on your knowledge of Hooke's Law.

1.
Which of the following equations represents Hooke's Law?
1. $"F"_s=kx$
2. $"F"_s=-kx$
3. $"F"_s=k/x$
4. $"F"_s=-k/x$
2.
According to Hooke's Law, which of the following is true about a spring at the equilibrium position?
1. The speed reaches a minimum.
2. The speed reaches a maximum.
3. The speed changes.
4. The speed reaches a value of zero.
3.
Which of the following properties reaches a maximum when the displacement of a spring is at a maximum? Select all that apply.
1. Velocity
2. Acceleration
3. Spring Force
4. Mass
5. The spring constant
4.
In simple harmonic motion, how are restoring force and displacement related to one another?
1. As the restoring force increases, the displacement decreases.
2. As the restoring force increases, the displacement remains the same.
3. As the restoring force increases, the displacement increases.
4. As the restoring force remains the same, the displacement decreases.
5.
Which of the following statements correctly describes what happens when the value of k increases?
1. The spring becomes less stiff, and the force needed to stretch or compress the spring is less.
2. The spring becomes less stiff, and the force needed to stretch or compress the spring is greater.
3. The spring becomes more stiff, and the force needed to stretch or compress the spring is greater.
4. The spring becomes more stiff, and the force needed to stretch or compress the spring is less.
6.
Which of the following statements correctly describes the relationship between the spring force and the mass's displacement from equilibrium?
1. The directions of the spring force and the mass's displacement from equilibrium are the same.
2. The direction of the spring force is opposite the direction of the mass's displacement from equilibrium.
3. The spring force is always at the equilibrium position, while the mass's displacement always oscillates.
4. The spring force is always oscillating, while the mass's displacement is always at the equilibrium position.
7.
A spring has a mass of 3.1 kg and hangs from a spring with a spring constant of 3.17 N/m. What is the net force acting on the spring when it reaches equilibrium?
1. -96.3 N
2. 96.3 N
3. 0 N
4. 192.6 N
8.
If a 350-gram mass hangs from a spring with a spring constant of 21 N/m, what is the displacement of the spring in centimeters?
1. 16.33 cm
2. 0.1633 cm
3. 1.633 cm
4. 1633 cm
9.
A mass hanging from a spring is stretched from its resting position by a distance of 0.34 m. If the spring constant is k=9.14 N/m, calculate the force being exerted on the mass. Show your work.

10.
The force exerted on a mass hanging from a spring is -31 N. The displacement of the spring is x=8.14 cm. Calculate the spring constant.

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