5.3.2 Elastic Potential Energy

• Potential energy is stored due to motion

  False
• All materials can store elastic potential energy

  False
• Play-Doh is a plastic material that does not store elastic potential energy because it retains its deformed shape.
• What is Hooke's Law?

  $F =$$kx$
• The formula for elastic potential energy is $EPE =$$\frac{1}{2}kx^{2}$


  True
• How does elastic potential energy change with displacement?

  Increases quadratically
• The formula for calculating elastic potential energy is EPE
• The elastic potential energy of a spring is measured in Joules.

  True
• Hooke's Law demonstrates a direct proportionality between force and displacement.

  True
• An example of potential energy is a stretched rubber band.
• An elastic material must return to its original shape after deformation.
• Elastic potential energy increases quadratically with displacement.


  True
• Steps to derive the elastic potential energy formula:

  1️⃣ Apply Hooke's Law: F = kx

  2️⃣ Calculate work done: W = ∫ F dx

  3️⃣ Substitute F = kx into the integral

  4️⃣ Integrate to find W

  5️⃣ Set EPE equal to W
• What is elastic potential energy?

  Energy stored in elastic materials
• Elastic potential energy is stored in materials when they are stretched or compressed.
• Match the type of energy with its definition:

  Potential Energy ↔️ Energy stored due to position

  Kinetic Energy ↔️ Energy possessed due to motion
• What are the conditions necessary for elastic potential energy to exist?

  Elastic material and deformation
• Which material stores elastic potential energy when stretched?

  Rubber band
• Glass is brittle and stores elastic potential energy when compressed.

  False
• In Hooke's Law, 'F' represents the force applied to the spring.
• Match the formula with its purpose:

  F = kx ↔️ Calculates force required to stretch a spring

  EPE = 0.5kx^2 ↔️ Calculates elastic potential energy stored
• Hooke's Law states that the force is directly proportional to the displacement.
• Hooke's Law is defined by the equation F
• The spring constant in Hooke's Law is measured in Newtons per meter
• Elastic potential energy is stored in elastic materials when they are stretched or compressed.


  True
• A moving car is an example of kinetic energy.
• The elastic potential energy formula is EPE = 0.5kx^2.
• The elastic potential energy formula can be derived using Hooke's Law and integration.

  True
• The final formula for elastic potential energy is EPE = 0.5kx^2.
• The spring constant in elastic potential energy calculations is measured in Newtons per meter.
• What is the formula for calculating elastic potential energy (EPE)?

  $EPE =$$\frac{1}{2}kx^{2}$
• The displacement in the elastic potential energy formula is measured in meters.

  True
• If a rubber band with a spring constant of 10 N/m is stretched by 0.2 m, the elastic potential energy stored is 0.2 Joules.
• A spring with a spring constant of 500 N/m is compressed by 0.05 m, storing 0.625 Joules of elastic potential energy.
• What happens to the elastic potential energy if the displacement of the material increases?

  It increases
• Elastic potential energy is stored when elastic materials are stretched or compressed.


  True
• What are the two types of deformation that can store elastic potential energy in a material?

  Stretch or compression
• Play-Doh is a plastic material that does not store elastic potential energy
• Glass is a brittle material that stores elastic potential energy.

  False
• What does it mean for a material to be elastic?

  Returns to original shape