7. Friction, Inclines, Systems

A vertical spring has a spring constant of $250N/m$. If a $3.0\mathrm{kg}$ mass is suspended from the spring and allowed to come to rest, what is the total length of the spring if its original (unstretched) length is $0.40m$? (Assume $g=9.8m/s^2$.)

A block of mass $m$ is at rest on a frictionless horizontal surface and is attached to a wall by an ideal spring with spring constant $k$. If the block is displaced a distance $x$ from equilibrium and released, what is the magnitude of the force exerted by the spring on the block at that instant?

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?