5.3.1 Hooke's Law

• The equation $F =$$kx$ is used to explain Hooke's Law, where $k$ represents the stiffness
• In the equation $F =$$kx$, the variable $k$ is measured in N/m
• Arrange the variables in Hooke's Law equation $F =$$kx$ in order of their appearance:


  1️⃣ $F$

  2️⃣ $k$

  3️⃣ $x$
• Match each variable in Hooke's Law with its unit:

  $F$ ↔️ Newtons (N)

  $k$ ↔️ Newtons per meter (N/m)

  $x$ ↔️ Meters (m)
• The spring constant $k$ represents the stiffness
• Match the variables in Hooke's Law with their definitions:

  Force ↔️ The force applied to the spring

  Spring Constant ↔️ The stiffness of the spring

  Extension ↔️ The change in length of the spring
• If a spring with a spring constant of 50 N/m is extended by 0.2 meters, the force required is 10 N.

  True
• Inelastic materials return to their original shape after being deformed.

  False
• Elastic materials return to their original shape when the force is removed
• Elastic materials undergo permanent deformation when stressed.

  False
• What does Hooke's Law state about the force applied to an elastic material?

  Directly proportional to extension
• What is the meaning of the variable $k$ in Hooke's Law?


  Spring constant
• Inelastic materials store energy when deformed.

  False
• Elastic materials undergo temporary deformation
• Inelastic materials can store and release energy.

  False
• Hooke's Law applies to inelastic materials.

  False
• Above the proportionality limit, the stress-strain relationship is non-linear.


  True
• Hooke's Law applies above the proportionality limit.

  False
• The linear region of a force-extension graph represents Hooke's Law.

  True
• Beyond the proportionality limit, a material may not return to its original shape.

  True
• Hooke's Law can be used to solve practical problems involving elastic materials.

  True
• A higher spring constant indicates a stiffer material.

  True
• Hooke's Law states that the force applied to an elastic material is directly proportional to the extension
• In the equation $F =$$kx$, the variable F</latex> represents the force
• Hooke's Law applies to all materials regardless of their elastic limit.

  False
• Hooke's Law holds true only if the material remains within its elastic limit.


  True
• In Hooke's Law, the extension of the material is represented by the variable $x$
• The spring constant k</latex> determines the force needed to achieve a specific extension.


  True
• The spring constant $k$ is measured in N/m.


  True
• In Hooke's Law, the extension is measured in meters
• Elastic materials return to their original shape and size when the force is removed.
• What is the unit for spring constant?

  N/m
• What is an example of an inelastic material?

  Clay
• Match the material type with an example:

  Elastic ↔️ Spring

  Inelastic ↔️ Clay
• The equation $F =$$kx$ explains Hooke's Law when the material is within its elastic limit
• If a spring with a spring constant of 50 N/m is extended by 0.2 meters, what is the force required?

  10 N
• Match the property with the material type:

  Temporary deformation ↔️ Elastic

  Permanent deformation ↔️ Inelastic
• The stress-strain relationship for elastic materials is linear
• Inelastic materials are permanently deformed
• The proportionality limit is the maximum stress a material can experience while maintaining a linear stress-strain relationship.