Elastic Potential Energy and F = ke Equations

• What is the first equation related to elasticity?

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

  K is the spring constant
• 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 equals $\frac{1}{2} ke^2$
• 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 a force of 14 N causes an extension of 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
• What does the area under the curve in a force vs. extension graph represent?

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

  When the object stops obeying Hooke's law