EPE and F=ke

• What are the two equations related to elasticity that are discussed in the video?

  F = ke and elastic potential energy = 1/2 ke^2
• What does the variable K represent in the equation F = ke?

  K represents the spring constant, which measures how firm or elastic the object is.
• How does a lower spring constant affect an object's elasticity?

  A lower spring constant means the object is more elastic and easier to stretch.
• What does the equation for elastic potential energy represent?

  It represents the energy transferred to an object as it is stretched.
• What is the formula for elastic potential energy?

  Elastic potential energy = 1/2 ke^2
• What happens to the energy used to stretch a spring when it is released?

  The energy is transferred back out to a different form, such as kinetic energy.
• If a spring has a natural length of 0.6 meters and stretches to 0.8 meters when a force is applied, how do you find the extension?

  By subtracting the natural length from the stretched length, giving 0.2 meters.
• How do you calculate the spring constant using the force and extension?

  By rearranging F = ke to get K = F/e.
• If a force of 14 Newtons causes a spring to extend by 0.2 meters, what is the spring constant?

  The spring constant is 70 Newtons per meter.
• How do you calculate the elastic potential energy of a spring with a spring constant of 70 N/m and an extension of 0.2 m?

  By using the formula elastic potential energy = 1/2 ke^2, which gives 1.4 joules.
• What does the gradient of a force versus extension graph represent?

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

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

  The elastic limit is the point where the object stops obeying Hooke's law.