Hooke's Law (Cambridge O Level Physics)

Revision Note

Test yourself
Leander

Author

Leander

Last updated

Hooke's Law

  • Hooke’s law states that:

The extension of a spring is proportional to the applied force

force space equals space spring space constant space cross times space extension

F space equals space k x

  • Where:
    • F is the force applied
    • k is the spring constant
    • x is the extension of the spring

 

  • The spring constant is the force per unit extension
    • The units are N/m
    • The spring constant is a measure of how stiff the spring is

  • Directly proportional means that as the force is increased, the extension increases 
    • If the force is doubled, then the extension will double
    • If the force is halved, then the extension will also halve
  • The limit of proportionality is the point beyond which the relationship between force and extension is no longer directly proportional 
    • This limit varies according to the material

Load extension and force, downloadable AS & A Level Physics revision notes

Hooke's Law states that a force applied to a spring will cause it to extend by an amount proportional to the force

Worked example

The figure below shows the forces acting on a child who is balancing on a pogo stick.The child and pogo stick are not moving.

Hookes Law Worked Example, downloadable IGCSE & GCSE Physics revision notes

The spring constant of the spring on the pogo stick is 4900 N/m. The weight of the child causes the spring to compress elastically from a length of 40 cm to a new length of 33 cm.

Calculate the weight of the child.

Answer:

Step 1: List the known quantities

  • Spring constant, k = 4900 N/m
  • Original length = 40 cm
  • Final length = 33 cm

Step 2: Write the relevant equation

F space equals space k x

Step 3: Calculate the extension, x

x space equals space final space length space minus space original space length 

x space equals space 40 space minus space 33 space equals space 7 space cm

Step 4: Convert any units

  • Since the spring constant is given in N/m, x must be in metres (m)

x space equals space 7 over 100 space equals space 0.07 space straight m

Step 5: Substitute the values into the Hooke's Law equation

F space equals space 4900 space cross times space 0.07

F space equals space 343 space straight N

You've read 0 of your 10 free revision notes

Unlock more, it's free!

Join the 100,000+ Students that ❤️ Save My Exams

the (exam) results speak for themselves:

Did this page help you?

Leander

Author: Leander

Expertise: Physics

Leander graduated with First-class honours in Science and Education from Sheffield Hallam University. She won the prestigious Lord Robert Winston Solomon Lipson Prize in recognition of her dedication to science and teaching excellence. After teaching and tutoring both science and maths students, Leander now brings this passion for helping young people reach their potential to her work at SME.