5.3.2 Elastic Potential Energy

• Elastic Potential Energy is released when the deforming force is removed.


  True
• The formula for Elastic Potential Energy is EPE = 1/2 * k * x^2
• What is the EPE stored in a spring with a spring constant of 200 N/m if it is stretched by 0.1 m?

  1 Joule
• In an elastic collision, objects bounce off each other and retain their original shapes
• The key difference between elastic and inelastic collisions is that kinetic energy is conserved in elastic collisions but not in inelastic collisions.
• What is the EPE stored in a spring with a spring constant of 200 N/m if it is stretched by 0.1 m?

  1 Joule
• Kinetic energy is conserved in elastic collisions.


  True
• What is Elastic Potential Energy (EPE)?

  Energy stored in a deformed object
• Match the variables in the EPE formula with their units:

  k ↔️ N/m

  x ↔️ m

  EPE ↔️ J
• Kinetic energy is conserved in an inelastic collision.

  False
• What happens to kinetic energy in an inelastic collision?

  Converted to other forms
• Momentum is conserved in both elastic and inelastic collisions.


  True
• Steps of calculating EPE in a spring

  1️⃣ Identify the spring constant (k)

  2️⃣ Measure the extension or compression (x)

  3️⃣ Substitute k and x into the formula

  4️⃣ Calculate the EPE
• The main difference between elastic and inelastic collisions is that kinetic energy is conserved in elastic collisions but not in inelastic collisions.
• Kinetic energy is conserved in elastic collisions.


  True
• What is the outcome of an elastic collision?

  Objects bounce off
• Elastic collisions do not conserve kinetic energy.

  False
• In an inelastic collision, kinetic energy may be converted into other forms of energy like heat.
• The spring constant $k$ in the EPE formula is measured in N/m.
• Match the potential energy type with its formula:

  Elastic Potential Energy ↔️ $EPE =$$\frac{1}{2} k x^{2}$

  Gravitational Potential Energy ↔️ $GPE =$$mgh$
• What does a larger spring constant value indicate about an object's stiffness?

  It is harder to stretch
• Elastic Potential Energy is released when the deforming force is removed and the object returns to its original shape.


  True
• The extension or compression in the EPE formula is measured in meters.
• What does the spring constant $k$ measure in the EPE formula?


  Object's stiffness
• Colliding cars are an example of an inelastic collision.


  True
• In an elastic collision, kinetic energy is conserved
• What is conserved in both elastic and inelastic collisions?

  Momentum
• What is Elastic Potential Energy (EPE)?

  Energy stored in deformation
• The spring constant $k$ is measured in Newtons per meter (N/m).


  True
• What happens to the total kinetic energy of colliding objects in an inelastic collision?

  Not conserved
• Inelastic collisions involve the deformation of colliding objects.
• What happens to the shape of objects in an elastic collision?

  Retain original shape
• Is momentum conserved in both elastic and inelastic collisions?

  Yes
• What does the variable $x$ represent in the EPE formula?


  Extension or compression
• Elastic Potential Energy depends on the object's deformation, while Gravitational Potential Energy depends on its position in a gravitational field.


  True
• The key variables in the GPE formula are mass and height.
• What units are used to measure the spring constant in the EPE formula?

  N/m
• Inelastic collisions conserve kinetic energy.

  False
• Inelastic collisions do not conserve kinetic energy.
• What is the key difference between Elastic Potential Energy (EPE) and Gravitational Potential Energy (GPE)?

  Deformation versus position