OCR A-Level Physics B H557
Planning
Implementing
Analysis
Evaluation
Practical Skills
Use of Apparatus and Techniques
Fundamental Data Analysis
Imaging and Signalling
Sensing
Mechanical Properties of Materials
Waves and Quantum Behaviour
Space, Time and Motion
Creating Models
Out Into Space
Our Place in the Universe
Matter: Very Simple
Matter: Hot or Cold
Electromagnetism
Charge and Field
Probing Deep Into Matter
Ionising Radiation and Risk
Mechanical Properties of Materials
Hooke's law and force-extension graphs
- 3 things to know
- Components 01, 02 and 03
Overview
Recall questions on Hooke's law and F = kx, stiffness from a force–extension graph, the limit of proportionality, springs joined end to end and side by side, rubber band loading loops and the energy they represent, polythene strips, measuring a spring's force–extension characteristic, unloading, plotting extension, and safety precautions and pointers.
What you need to know
Answer each one before you reveal it.
Write Hooke's law as a relationship and define the constant in it.
A spring extends by 50 mm when a force of 4.0 N is applied. Calculate its stiffness.
Questions from this subtopic
Each one with the model answer underneath.
- 1
State Hooke's law.
Model answer
The extension of a specimen is directly proportional to the force applied, provided the limit of proportionality is not exceeded.
- 2
Write Hooke's law as a relationship and define the constant in it.
Model answer
F = kx, where k is the stiffness or spring constant measured in N m⁻¹ and x is the extension in metres.
- 3
What does the gradient of a force–extension graph give?
Model answer
It gives the stiffness k of that particular specimen.
- 4
What is meant by the limit of proportionality?
Model answer
It is the point beyond which the force–extension graph is no longer a straight line.
- 5
A spring extends by 50 mm when a force of 4.0 N is applied. Calculate its stiffness.
Model answer
k = 4.0/0.050 = 80 N m⁻¹.
- 6
A spring of stiffness 25 N m⁻¹ is stretched by 80 mm. Calculate the force applied.
Model answer
F = 25 × 0.080 = 2.0 N.
Other ways to work this
The same content, four other ways.
What is inside Levo
Six ways to work the same material.
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