CCEA A-Level Physics 1210
Physical Quantities, Scalars and Vectors
Moments and Equilibrium
Linear Motion and Dynamics
Newton's Laws of Motion
Linear Momentum and Impulse
Work, Energy and Power
Current, Charge and Potential Difference
Resistance and Resistivity
Internal Resistance and Potential Dividers
Waves
Refraction
Lenses
Superposition, Interference and Diffraction
Quantum Physics
Wave-Particle Duality
Astronomy
Practical Skills and Data Analysis
Deformation of Solids
Thermal Physics
Uniform Circular Motion
Simple Harmonic Motion
The Nucleus and Radioactive Decay
Nuclear Energy, Fission and Fusion
Gravitational Fields
Electric Fields
Capacitors
Magnetic Fields
Charged Particles and Accelerators
Deformation of Solids
Strain energy and force–extension graphs
- 3 things to know
- Unit A2 1
Overview
Recall questions on what strain energy is, the two forms of the equation and why there is a factor of ½, the area under a force–extension graph, the effect of doubling the extension, finding the energy under a curved graph, what the area of a loading and unloading loop represents, and a catapult calculation.
What you need to know
Answer each one before you reveal it.
What is meant by strain energy?
Why does the equation for strain energy carry a factor of ½?
Questions from this subtopic
Each one with the model answer underneath.
- 1
What is meant by strain energy?
Model answer
Strain energy is the elastic potential energy stored in a material because work has been done in stretching or compressing it.
- 2
State the equation for strain energy in both of its forms and define every symbol.
Model answer
E = ½Fx = ½kx², where E is the strain energy in joules, F the final force in newtons, x the extension in metres and k the spring constant in N m⁻¹.
- 3
Why does the equation for strain energy carry a factor of ½?
Model answer
The force grows steadily from zero to F as the material stretches, so the average force doing the work is F/2 rather than F.
- 4
What does the area under a force–extension graph represent?
Model answer
The area under the graph is the work done on the material, which is the strain energy stored in it, in joules.
- 5
Calculate the strain energy stored in a spring of spring constant 200 N m⁻¹ extended by 4.0 cm.
Model answer
E = ½kx² = ½ × 200 × (0.040)² = 0.16 J.
- 6
A force of 8.0 N produces an extension of 4.0 cm in a spring. Calculate the work done in stretching it.
Model answer
E = ½Fx = ½ × 8.0 × 0.040 = 0.16 J.
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