2.8 Spring Forces

• The negative sign in Hooke's Law indicates the spring force acts in the same direction as the displacement.

  False
• The spring constant $k$ is measured in N/m
• What is the formula used in Hooke's Law to calculate the force exerted by a spring?

  $F =$$- kx$
• The formula for Hooke's Law is F = -kx.
• Hooke's Law states that force is directly proportional to displacement.

  True
• Hooke's Law is fundamental to understanding how springs store and release energy.


  True
• In Hooke's Law, the force is measured in Newtons.
• In equilibrium problems involving springs, Hooke's Law is used to calculate the spring force.
• The negative sign in Hooke's Law indicates that the spring force acts in the opposite direction to the displacement.


  True
• The equation for Hooke's Law is F = -kx
• What does Hooke's Law state about the relationship between force and displacement?

  Directly proportional
• Steps to calculate the force using Hooke's Law:

  1️⃣ Identify variables: k and x

  2️⃣ Apply Hooke's Law: F = -kx

  3️⃣ Calculate the force
• The equation for Hooke's Law is F = -kx
• The negative sign in Hooke's Law indicates that the spring force acts in the opposite direction to the displacement.
• What type of motion does Hooke's Law describe for springs?

  Simple harmonic motion
• What does a higher spring constant indicate about the spring?

  Stiffer spring
• What does the term 'displacement' refer to in Hooke's Law?

  Stretch or compression
• In Hooke's Law, the variable x represents the displacement
• In Hooke's Law, the variable k represents the spring constant.
• The spring force exerted when a 2 kg mass is attached to a spring with a spring constant of 25 N/m and displaced by 0.1 m is -2.5 N.
• How much work is done by a spring with a spring constant of 100 N/m when stretched from 0.1 m to 0.3 m?

  4 J
• What is the spring force designed to do after compression or stretching?

  Return to original length
• Match the variable in Hooke's Law with its description:

  Force ↔️ The force exerted by the spring

  Spring Constant ↔️ A measure of the spring's stiffness

  Displacement ↔️ The distance the spring is stretched
• A spring with a higher spring constant requires more force to stretch it by the same distance.


  True
• The force calculated using Hooke's Law always acts in the opposite direction of the displacement.


  True
• What does the spring constant measure?

  Spring's stiffness
• The negative sign in Hooke's Law ensures the spring restores to its equilibrium position.
• The spring constant is expressed in Newtons per meter.
• The negative sign in Hooke's Law ensures the spring returns to its equilibrium position.


  True
• What is the formula for Hooke's Law?

  $F =$$- kx$
• What is the spring force if a spring with a spring constant of 50 N/m is stretched by 0.2 m?

  -10 N
• A spring-mass system's dynamics are described by Hooke's Law.


  True
• The work done by a spring force when stretched from $x_{i}$ to $x_{f}$ is given by \frac{1}{2} kx_{f}^{2} - \frac{1}{2} kx_{i}^{2}</latex>, where $x_{i}$ is the initial displacement.
• What is the displacement of a spring with a spring constant of 20 N/m when a 10 N weight is suspended from it?

  -0.5 m
• What is the formula for elastic potential energy stored in a spring?

  $U =$$\frac{1}{2} kx^{2}$