Required practical - Force and extension (AQA GCSE Physics Combined Science): Revision Notes
Required practical - Force and extension
What is this practical about?
This practical investigation helps you understand the relationship between force and extension when you stretch a spring. You'll discover how springs behave when different weights are attached to them.
This is one of the most important practical investigations in physics because it demonstrates a fundamental principle that applies to many elastic materials, not just springs.
Aim of the investigation
The main goal is to find out how the extension of a spring changes when you add different weights to it. This helps prove that there's a linear relationship between force and extension.
Equipment you need
- A spring
- A ruler
- A pointer (to help read measurements accurately)
- Different weights or masses
- A retort stand with bosses and clamps
- Eye protection (safety goggles)
The pointer is crucial for accurate readings - it helps eliminate parallax errors by giving you a clear reference point against the ruler.
Method - step by step
Setting up:
- Clamp the spring vertically to the retort stand
- Attach a pointer to the bottom of the spring
- Position a ruler next to the spring
- Measure and record the original length of the unstretched spring
Taking measurements: 5. Add the first weight to the spring 6. Wait for the spring to stop moving 7. Read the new position on the ruler at eye level 8. Calculate the extension using: 9. Repeat by adding more weights, one at a time 10. Record all your results in a table
Accuracy Tips:
- Always wait for the spring to stop oscillating before taking readings
- Take multiple readings and calculate an average to improve accuracy
- Ensure the spring hangs vertically to avoid systematic errors
Important safety points
Essential Safety Requirements:
- Always wear eye protection - springs store elastic energy and could snap back and damage your eyes
- Read measurements at eye level to avoid parallax errors (where the reading looks different from different angles)
- Check that weights are securely attached before releasing them
Understanding weight and mass
This concept is really important for your exam and often causes confusion:
Key Distinctions:
- Weight is a force, measured in Newtons (N)
- Mass is not a force, measured in grammes (g) or kilogrammes (kg)
- Weight depends on gravitational field strength, while mass is constant everywhere
Useful Conversion to Remember: 100g mass = approximately 1N weight on Earth (where g ≈ 10 m/s²)
This means: 50g → 0.5N, 200g → 2N, 500g → 5N
Plotting your results
Creating an accurate graph is essential for demonstrating the relationship:
- Plot a graph with force (weight) on the x-axis and extension on the y-axis
- You should get a straight line through the origin
- This straight line proves there's a linear relationship between force and extension
- You can use this graph to find the weight of unknown objects by measuring how much they stretch the spring
Example Graph Analysis:
Step 1: Plot your data points carefully
- X-axis: Force/Weight (N)
- Y-axis: Extension (cm or mm)
Step 2: Draw the best fit line
- Should pass through (0,0) if no systematic errors
- Ignore any obvious outliers
Step 3: Calculate the gradient
- Gradient = spring constant (k)
- Steeper gradient = stiffer spring
What your results show
Your investigation demonstrates several important physics principles:
- There's a linear relationship between the weight applied and the extension of the spring
- The extension is directly proportional to the weight (as long as you don't stretch the spring too far)
- This relationship only works within the limit of proportionality - if you stretch the spring too much, it won't return to its original length
Key Findings:
- Linear relationship: Extension ∝ Applied force
- Straight-line graph: Through the origin (if no systematic errors)
- Hooke's Law verified: F = kx (where k is the spring constant)
- Elastic limit: Beyond a certain point, the spring becomes permanently deformed
Key calculations
Understanding the mathematical relationships is crucial:
Essential Formulas:
Extension calculation:
Spring constant from graph:
Hooke's Law: where F = force (N), k = spring constant (N/m), x = extension (m)
Key Points to Remember:
- Weight is a force measured in Newtons, not mass measured in grammes
- Extension = new length - original length
- The relationship is linear - you get a straight line graph
- Always wear eye protection when working with springs
- Read measurements at eye level to avoid errors
- 100g mass weighs approximately 1N on Earth
- The gradient of your graph gives the spring constant