7. Friction, Inclines, Systems

A hydraulic chamber contains a spring attached to a piston. When a force is applied to the piston, the spring compresses by a distance $x$. If the spring has a force constant $k$, what is the magnitude of the force exerted by the spring on the piston according to Hooke's Law?

A metallic laboratory spring is typically $5.00\mathrm{cm}$ long, $0.150\mathrm{cm}$ in diameter, and has $50$ coils. If a force of $2.00N$ stretches the spring by $0.50\mathrm{cm}$, what is the spring constant $k$ of the spring according to Hooke's Law?

A mass $m$ is attached to a spring with spring constant $k$ and is displaced from its equilibrium position on a frictionless surface. According to Hooke's Law, what is the magnitude of the restoring force acting on the mass when it is displaced by a distance $x$ from equilibrium?

Why is a metal spring said to be elastic?

A spring lies on a horizontal table. According to Hooke's Law, which equation correctly relates the force $F$ required to stretch or compress the spring by a distance $x$ from its equilibrium position, where $k$ is the spring constant?

A spring is hung from the ceiling and a mass is attached to its end, causing it to stretch. According to Hooke's Law, which equation correctly relates the force $F$ exerted by the spring to its displacement $x$ from equilibrium, where $k$ is the spring constant?

A cylinder is fitted with a piston beneath which is a spring. If the spring has a force constant $k$ and is compressed by a distance $x$ from its equilibrium position, what is the magnitude of the force exerted by the spring on the piston according to Hooke's Law?

A mass $m$ is hung from a vertical spring with spring constant $k$. What is the distance $y$ that the spring will stretch under the weight of the mass (assume equilibrium and ignore the mass of the spring)?

When an elastic conducting material is stretched within its elastic limit, which of the following best describes the relationship between the restoring force and the displacement from equilibrium according to $Hook’s$ Law?

When a mass attached to an ideal spring is at its maximum displacement from equilibrium, which of the following statements is true?

A block of mass $m$ is attached to a ceiling by a vertical spring with spring constant $k$. If the block is at rest and the spring is stretched by a distance $x$ from its natural length, which equation correctly relates the forces acting on the block at equilibrium?

When a metal spring is stretched horizontally, which of the following quantities increases?

According to Hooke's Law, what happens to the force required to stretch an ideal spring as the displacement from its equilibrium position increases?

A baby bouncer is attached to a vertical spring. When a force of $40N$ is applied, the spring stretches by $0.20m$. What is the spring constant $k$ of the spring?

In Hooke's law, expressed as $F=-kx$, what is the significance of the negative sign?