Elastic potential Energy

• What is the first equation related to elasticity?

  F = ke
• What does the variable K represent in the elasticity equation?

  Spring constant specific to each object
• What does a lower spring constant indicate about an object?

  It is more elastic and easier to stretch
• What does a higher spring constant indicate about an object?

  It is stiffer and harder to stretch
• What is the second equation related to elastic potential energy?

  Elastic potential energy = $\frac{1}{2} ke^2$
• What does elastic potential energy represent?

  Energy transferred to an object as it stretches
• If 100 joules of energy is used to stretch a spring, what happens to that energy?

  It is transferred to the spring's potential energy
• How do you calculate the extension of a spring?

  Subtract natural length from stretched length
• What is the extension if a spring's natural length is 0.6 m and stretched to 0.8 m?

  0.2 m
• How do you find the spring constant using the force and extension?

  Use $K =$$\frac{F}{E}$
• What is the spring constant if the force is 14 N and extension is 0.2 m?

  17 N/m
• How do you calculate the elastic potential energy of a spring?

  Use $U =$$\frac{1}{2} k e^2$
• What is the elastic potential energy if K is 70 N/m and E is 0.2 m?

  1.4 joules
• What does the gradient of a force vs. extension graph represent?

  The spring constant of the spring
• What does the area under the curve in a force vs. extension graph represent?

  The elastic potential energy transferred to the spring
• What is the elastic limit in the context of Hooke's law?

  Point where object stops obeying Hooke's law
• What are the key concepts of elasticity covered in the video?

  • Two equations: F = ke and U = 1/2 ke^2
  • Spring constant (K) indicates stiffness
  • Elastic potential energy is energy stored when stretched
  • Extension is the difference between natural and stretched lengths
  • Graphs show relationships between force, extension, and energy