F = KE: Understanding the Relationship Between Force and Extension in Springs

The video tutorial explains the relationship between the force applied to a spring and the resulting extension, introducing the concept of proportionality and the equation F = K E. It demonstrates how to calculate the spring constant and explores the effects of different forces on spring extension. The tutorial also discusses the limit of proportionality, where the spring no longer behaves proportionally to the applied force.

What is the relationship between force and extension in a spring according to Hooke's Law?

• Force is exponentially related to extension.

• Force is inversely proportional to extension.

• Force is unrelated to extension.

• Force is directly proportional to extension.

If a spring has a spring constant of 0.4 N/cm, what is the extension when a force of 2 N is applied?

• 2.5 cm

• 5 cm

• 10 cm

• 12.5 cm

How does the extension change when the force applied to a spring is doubled?

• The extension is doubled.

• The extension is halved.

• The extension remains the same.

• The extension is tripled.

What happens to a spring when the force applied exceeds the limit of proportionality?

• The spring stretches more than expected.

• The spring continues to stretch proportionally.

• The spring breaks immediately.

• The spring contracts.

What is the term used to describe the point beyond which a spring no longer stretches proportionally to the force applied?

• Yield point

• Breaking point

• Limit of proportionality

• Elastic limit