2.8 Spring Forces

• Spring forces act in the direction that would return the spring to its equilibrium
• The negative sign in Hooke's Law indicates that the spring force opposes the displacement.


  True
• The negative sign in Hooke's Law indicates that the spring force is always attractive.

  False
• What is the spring force if a spring with a spring constant of 500 N/m is stretched by 0.1 meters?

  -50 N
• Steps to apply Hooke's Law to calculate spring forces:

  1️⃣ Identify the spring constant ($k$)

  2️⃣ Determine the displacement ($x$)

  3️⃣ Apply the formula $F =$$- kx$

  4️⃣ Calculate the spring force ($F$)
• The negative sign in Hooke's Law indicates that the spring force opposes the displacement
• When a spring is compressed, its displacement ($x$) is negative
• Match the condition of the spring with its state:

  Compression ↔️ Spring is shorter than equilibrium

  Extension ↔️ Spring is longer than equilibrium
• What type of force are spring forces?

  Restoring forces
• The spring constant ($k$) measures the spring's stiffness
• What is the spring force of a spring with a spring constant of 500 N/m stretched by 0.1 meters?

  -50 N
• Match the feature with the correct state of the spring:

  Negative displacement ↔️ Compression

  Positive displacement ↔️ Extension
• What is the formula for potential energy stored in a spring?

  $PE =$$\frac{1}{2} kx^{2}$
• The potential energy stored in a spring increases linearly with displacement.

  False
• What are spring forces?

  Restoring forces
• What is the relationship described by Hooke's Law?

  $F =$$- kx$
• Match the component with its definition and units:

  Spring Force ↔️ Restoring force exerted by the spring (N)

  Displacement ↔️ Change in length from equilibrium (m)

  Spring Constant ↔️ Measure of the spring's stiffness (N/m)
• What is the spring force if a spring with a spring constant of 800 N/m is compressed by 0.05 meters?

  40 N
• When a spring is compressed, the spring force is positive and pushes outward.

  True
• Spring forces always act in the direction that returns the spring to its equilibrium position.
• The negative sign in Hooke's Law indicates that the spring force opposes the displacement.

  True
• What does Hooke's Law describe?

  Spring force
• The negative sign in Hooke's Law signifies that the spring force is in the opposite direction of the displacement.


  True
• A spring with a spring constant of 800 N/m is compressed by 0.05 meters. The spring force exerted is 40 N
• A spring with a spring constant of 300 N/m is stretched by 0.2 meters. The potential energy stored is 6 J
• Where are spring forces used in suspension systems?

  Absorbing shocks