5.3.2 Elastic Potential Energy

• What is elastic potential energy stored in?

  Elastic materials
• The spring constant is measured in N/m
• Elastic potential energy is released when the material returns to its original shape.
• What does the variable 'k' represent in the elastic potential energy formula?

  Spring constant
• The extension of an elastic material is measured in meters
• What is the formula for elastic potential energy?

  E_{e} = \frac{1}{2} kx^{2}</latex>
• The spring constant 'k' is the same for all materials.

  False
• Steps to describe Hooke's Law

  1️⃣ Force is applied to an elastic material

  2️⃣ Material extends or compresses

  3️⃣ Extension is proportional to force

  4️⃣ Material returns to original shape
• What happens to the extension of an elastic material if the force applied increases?

  It increases
• The force applied to an elastic material is proportional to its extension
• In Hooke's Law, the force applied is represented by F
• Hooke's Law states that the force applied to an elastic material is directly proportional to its extension.
• What is the formula for Hooke's Law?

  $F =$$kx$
• The spring constant in Hooke's Law is represented by the letter k
• Hooke's Law applies to materials stretched beyond their limit of proportionality.

  False
• Hooke's Law is valid only if the material's extension is within its limit of proportionality
• What does 'x' represent in Hooke's Law?

  Extension
• Match the variables in Hooke's Law with their meanings:

  F ↔️ Force

  k ↔️ Spring constant

  x ↔️ Extension
• Hooke's Law is applicable to both compression and tension forces.
• Under what condition is Hooke's Law valid for an elastic material?

  Below its proportionality limit
• Hooke's Law states that force is proportional to extension
• Steps to apply Hooke's Law in a problem:

  1️⃣ Identify the known variables

  2️⃣ Choose the correct formula

  3️⃣ Substitute the values

  4️⃣ Calculate the unknown variable
• What happens to the force if the extension in Hooke's Law doubles?

  It doubles
• The spring constant 'k' in Hooke's Law is a measure of the material's stiffness.
• The spring constant 'k' in Hooke's Law measures the material's stiffness
• What is the unit of measurement for force in Hooke's Law?

  Newtons (N)
• If a material is stretched beyond its limit of proportionality, it will return to its original length when the force is removed.

  False
• If stretched beyond its limit, an elastic material will not return to its original length
• What happens to the extension of a spring if the force applied is halved?

  It halves
• Hooke's Law is valid for all types of materials, regardless of their elasticity.

  False
• Hooke's Law is valid only for elastic materials within their limit of proportionality
• What is the relationship between force and extension in Hooke's Law?

  Directly proportional
• Hooke's Law states that the force applied to an elastic material is proportional to its extension
• Hooke's Law is valid beyond the material's limit of proportionality.

  False
• What is the formula for the spring constant in Hooke's Law?

  $k =$$\frac{F}{x}$
• Match the concept with its description:

  Hooke's Law ↔️ Describes the relationship between force and extension

  Elastic Potential Energy ↔️ Energy stored in elastic materials
• The spring constant is measured in N/m.
• What is the formula for Elastic Potential Energy?

  $E_{e} =$$\frac{1}{2} kx^{2}$
• In the Elastic Potential Energy formula, $E_{e}$ is measured in joules
• The spring constant $k$ for a material is always positive.