7. Friction, Inclines, Systems

In Hooke's law, which equation correctly relates the force exerted by a spring to its displacement?

In a car's suspension system, what prevents the springs from bouncing continuously after hitting a bump?

Three identical springs are hanging vertically from the ceiling. If a mass $m$ is attached to the end of each spring, which of the following correctly describes the extension $x$ of each spring according to Hooke's Law?

In Hooke's Law, which equation correctly relates the force exerted by a spring to its displacement from equilibrium?

When a spring is compressed, which form of energy increases?

According to Hooke's Law ($F=-kx$), if a spring is stretched to three times its original displacement ($x$ becomes $3x$), by what factor does the elastic potential energy ($U=\frac{1}{2}k{x}^2$) stored in the spring increase?

Which of the following circumstances can lead to the formation of a spring that obeys $Hooke’sLaw$?

Which of the following is a common setting where a spring is used?

According to Hooke's Law, the frequency of oscillation of a mass attached to an ideal spring depends on which of the following quantities?

According to Hooke's Law, a spring is stretched from its equilibrium position. During which interval is the largest amount of energy required to stretch the spring: from $0$ to $1$ cm, from $1$ to $2$ cm, from $2$ to $3$ cm, or from $3$ to $4$ cm?

Which of the following equations correctly represents the potential energy stored in a spring when it is stretched or compressed by a distance $x$ from its equilibrium position, where $k$ is the spring constant?

Which of the following situations is most likely to result in the formation of a spring that obeys $Hooke’sLaw$?

A stone of mass $m$ is gently placed on a vertical spring with spring constant $k$. How far will the stone compress the spring before coming to rest?

Which of the following best describes Hooke's Law, and to which type of materials does it apply?

A vertical spring is originally 60 cm long. When you attach a 5 kg object to it, the spring stretches to 70 cm. 

(a) Find the force constant on the spring.
(b) You now attach an additional 10 kg to the spring. Find its new length.

(For the multiple choice selection, answer only part (b). Use g=10 m/s².)