What Does a Typical HSC Physics Lesson Involve?

Find out what actually happens in HSC Physics lessons, from modelling physical situations and solving calculations to class discussions and practical investigations. Includes a sample lesson, practical preparation advice, and the current NSW syllabus requirements.

A typical HSC Physics lesson might start with a question that sounds simple: if you roll a ball down a ramp, how can you predict how fast it will be moving at the bottom?

You might sketch the motion, identify the forces acting on the ball, use an equation to calculate its acceleration, and then compare your prediction with measurements from an actual experiment. Along the way, you'll discuss why the results might differ from the calculation.

That sequence gives you a good idea of what studying Physics in Years 11 and 12 involves. You'll move between physical models, mathematical calculations, scientific discussions, and practical investigations. The aim isn't just to learn equations. It's to understand when they apply, what they predict, and how well those predictions match the real world.

## What actually happens in a typical HSC Physics lesson?

Imagine a fictional Year 11 lesson on motion. Your teacher begins by showing the class a trolley rolling down a slightly inclined track.

Rather than immediately writing down an equation, the teacher asks:

*If we double the time that the trolley travels, will it have travelled twice as far?*

You might predict yes. After all, twice the time sounds like twice the distance.

But that prediction only holds if the trolley travels at constant speed. If it accelerates, its distance increases more quickly.

This is where a Physics lesson begins to develop. You take an observation, make a prediction, test whether your reasoning works, and build a more accurate explanation.

A lesson might move through four activities:

1. **Modelling:** Describe the physical situation using diagrams, assumptions, and scientific principles.
2. **Calculation:** Apply equations to predict measurable quantities.
3. **Discussion:** Explain the result, challenge assumptions, and consider alternative explanations.
4. **Practical work:** Collect measurements and compare experimental results with theoretical predictions.

These activities aren't necessarily separate blocks. A teacher might move between them several times during one lesson.

[IMAGE: A realistic educational illustration of a Year 11 physics classroom. A teacher demonstrates a dynamics trolley on an inclined track while students sketch predictions and examine measurements. Show the track, trolley, measuring equipment, and students observing the motion.]

## 1. Modelling: turning a real situation into a Physics problem

Physics problems often begin with something you can see: a moving car, a bouncing ball, a swinging pendulum, or a magnet attracting a piece of metal.

The difficulty is that real situations contain many interacting details. A moving car experiences air resistance, friction, changes in engine force, and potentially changes in road gradient.

Trying to account for everything at once would make the problem unnecessarily complicated.

Instead, you build a model.

A scientific model is a simplified representation of a physical situation. It keeps the features that matter for the question and temporarily ignores details that have little effect.

For example, suppose you're studying a ball rolling down a ramp. You might initially assume:

- The ramp has a constant gradient.
- The ball starts from rest.
- Its acceleration remains constant.
- Energy losses due to friction and air resistance are negligible.

These assumptions make the situation easier to analyse. They don't mean that friction and air resistance have magically disappeared.

[IMAGE: Side-view scientific illustration of a ball rolling down a straight inclined ramp, with a clear starting point, vertical height, horizontal distance, and ramp angle. Show the ball at two positions along its path, without supplying calculated forces or answers.]

Your teacher might ask you to draw a diagram before touching a calculator. This is important because a good diagram helps you identify what is happening physically.

You could then predict how changing the ramp angle affects the ball's motion. A steeper ramp produces a greater component of gravitational force along the ramp, so the ball accelerates more strongly under the simplified model.

The model gives you a prediction that you can investigate.

From a model to a mathematical calculation

Once you’ve described the situation, the next step is to make a numerical prediction.

In the trolley example, you know that the ball or trolley accelerates as it moves down the ramp. You can use equations of motion to calculate its speed, acceleration, or displacement.

The important skill is choosing an equation that matches the situation. Memorising a formula isn’t enough if you can’t identify what the symbols represent or when the formula applies.

For uniformly accelerated motion, three useful relationships are:

\[ v=u+at \]

\[ s=ut+\frac{1}{2}at^2 \]

\[ v^2=u^2+2as \]

Here:

  • \(u\) is initial velocity, measured in metres per second (m/s).
  • \(v\) is final velocity, measured in metres per second (m/s).
  • \(a\) is acceleration, measured in metres per second squared (m/s²).
  • \(t\) is elapsed time, measured in seconds (s).
  • \(s\) is displacement, measured in metres (m).

These equations assume constant acceleration. If acceleration changes significantly, you need a different approach.

Worked example: predicting a trolley’s motion

A trolley starts from rest and accelerates uniformly at \(0.60\text{ m/s}^2\) for \(4.0\text{ s}\). Calculate its final velocity and displacement.

Step 1: Identify the information you have.

The trolley starts from rest, so its initial velocity is zero.

\[ u=0,\quad a=0.60\text{ m/s}^2 \]

\[ t=4.0\text{ s} \]

Step 2: Calculate the final velocity.

Use \(v=u+at\).

\[ \begin{aligned} v&=0+(0.60)(4.0)\\\ &=2.4\text{ m/s} \end{aligned} \]

Step 3: Calculate the displacement.

Use \(s=ut+\frac{1}{2}at^2\).

\[ \begin{aligned} s&=(0)(4.0)+\frac{1}{2}(0.60)(4.0)^2\\\ &=4.8\text{ m} \end{aligned} \]

Step 4: Interpret the result.

The trolley finishes with a velocity of \(2.4\text{ m/s}\) and travels \(4.8\text{ m}\).

Notice that we calculated two different quantities from the same physical model. This is common in Physics: one situation can lead to several related calculations.

Why graphs are part of Physics, not just Mathematics

Your teacher might then show you a velocity-time graph and ask you to explain what its shape tells you.

A graph gives you a visual way to recognise relationships between physical quantities.

For a velocity-time graph:

  • The gradient represents acceleration.
  • The area between the graph and the time axis represents displacement.
  • A horizontal line represents constant velocity.
  • A straight line with a constant gradient represents constant acceleration.

This means you can sometimes obtain the same result using a graph or an equation.

For example, the trolley above has a velocity-time graph that rises uniformly from \(0\text{ m/s}\) to \(2.4\text{ m/s}\) over four seconds. The area underneath the graph is a triangle:

\[ s=\frac{1}{2}\times4.0\times2.4 =4.8\text{ m} \]

You get exactly the same displacement as before.

This is an important feature of HSC Physics. You aren’t simply learning to substitute numbers into formulas. You’re learning to recognise the same physical relationship in different forms.

02Discussion: explaining why the answer makes sense

After a calculation, your teacher might ask you to explain what the result actually means.

Suppose your model predicts that a trolley accelerates at \(1.5\text{ m/s}^2\), but an experiment gives a measured acceleration of \(1.3\text{ m/s}^2\).

Which answer is correct?

The tempting response is that the experiment must be wrong. But the calculation depends on assumptions, and the real apparatus doesn’t necessarily behave exactly like the model.

Possible explanations include:

  • Friction between the trolley and track.
  • Air resistance.
  • A slight variation in the track’s gradient.
  • Uncertainty when measuring time or distance.
  • An assumption that isn’t sufficiently accurate.

You need to consider which explanations are physically reasonable and supported by the evidence.

This is where discussion becomes a major part of learning Physics. You might be asked to justify a prediction, compare two models, identify a limitation, or explain why experimental evidence doesn’t perfectly match theoretical expectations.

Worked example: calculating current in a parallel circuit

A student connects a \(6.0\\,\Omega\) resistor and a \(3.0\\,\Omega\) resistor in parallel across an ideal \(12.0\text{ V}\) power supply.

Calculate the total current supplied by the battery and the total electrical power delivered to the circuit.

Step 1: Recognise how the parallel arrangement works.

Both resistors have the same potential difference across them.

Therefore:

\[ V_1=V_2=12.0\text{ V} \]

Step 2: Calculate the equivalent resistance.

For two resistors in parallel:

\[ \frac{1}{R_{\text{total}}} = \frac{1}{R_1}+\frac{1}{R_2} \]

Substitute the resistance values:

\[ \begin{aligned} \frac{1}{R_{\text{total}}} &=\frac{1}{6.0}+\frac{1}{3.0}\\\ &=\frac{1}{2} \end{aligned} \]

Therefore:

\[ R_{\text{total}}=2.0\\,\Omega \]

Step 3: Calculate the total current.

Using Ohm’s law:

\[ I=\frac{V}{R} \]

\[ I=\frac{12.0}{2.0} =6.0\text{ A} \]

Step 4: Calculate the total power.

Electrical power is given by:

\[ P=VI \]

\[ P=(12.0)(6.0)=72\text{ W} \]

Step 5: Check whether the result makes physical sense.

The current through the \(6.0\\,\Omega\) resistor is \(2.0\text{ A}\), while the current through the \(3.0\\,\Omega\) resistor is \(4.0\text{ A}\).

Their sum is \(6.0\text{ A}\), matching the total current calculated earlier.

The circuit therefore provides a useful consistency check.

Notice that the smaller resistor carries more current. A student who assumes current is divided equally between parallel branches would get the wrong answer.

This kind of discussion helps you understand the physics behind the calculation rather than treating each equation as an isolated rule.

03Practical work: testing your predictions

Physics isn’t limited to calculations on a whiteboard.

You’ll also conduct practical investigations, using equipment to collect measurements and test scientific ideas.

Return to the trolley on the ramp. Your teacher might ask you to investigate how changing the ramp angle affects the trolley’s acceleration.

A typical investigation could involve:

  1. Setting up a trolley and inclined track.
  2. Measuring the ramp angle.
  3. Releasing the trolley from the same starting position.
  4. Recording its motion using timing gates or video analysis.
  5. Repeating the experiment at different angles.
  6. Processing the measurements and comparing the results.

The important part isn’t simply making the trolley move. It’s designing a fair investigation.

You need to think about which variable you’re changing, which variable you’re measuring, and which conditions should remain constant.

Investigation elementTrolley example
Independent variableRamp angle
Dependent variableTrolley acceleration
Controlled variablesTrolley, starting position, track surface and release method
MeasurementTime or velocity at known positions

You might then organise your results in a table and plot acceleration against ramp angle.

The graph helps you decide whether the relationship matches your prediction.

What happens if the results don’t match?

Imagine your calculations predict that increasing the ramp angle will increase acceleration, but your measurements are inconsistent.

You shouldn’t immediately discard the experiment.

Instead, consider whether:

  • The trolley was released with a small initial push.
  • The angle measurement was inaccurate.
  • The timing gates weren’t positioned correctly.
  • The trolley experienced inconsistent friction.
  • There were too few repeated measurements.

You might repeat the measurements or improve the experimental setup.

This is a central part of scientific investigation: a result is only useful if you understand how it was obtained and how reliable it is.

Do all practical lessons involve laboratory equipment?

No. Practical investigations can take several forms.

You might:

  • Conduct a laboratory experiment using physical apparatus.
  • Use a computer simulation to investigate a physical system.
  • Analyse measurements collected by another group.
  • Process and interpret data from a published scientific investigation.
  • Use a mathematical model to make and test predictions.

The common feature is that you’re working scientifically rather than simply memorising information.

This is also why practical work isn’t necessarily a break from the theory. It is one way of learning and testing the theory.

04What does a complete Physics lesson look like?

The activities above often fit together into one lesson.

Here’s a fictional 60-minute lesson investigating how the angle of an inclined track affects a trolley’s acceleration.

TimeWhat happensWhat you’re learning
0-5 minPredict how changing the ramp angle affects acceleration.Making scientific predictions
5-20 minDraw a model, identify forces, and discuss the relevant equations.Applying physical principles
20-30 minCalculate the expected acceleration for a particular ramp angle.Mathematical problem-solving
30-50 minAdjust the ramp, release the trolley, and collect measurements.Conducting an investigation
50-60 minCompare the measurements with the prediction and discuss limitations.Analysing evidence

This is an example, not a prescribed NESA lesson structure.

Some lessons might be almost entirely focused on calculations. Others might involve a longer practical investigation, a class discussion, or analysing data from a previous experiment.

You won’t necessarily complete all four activities every time you enter the classroom.

05What practical preparation do you need?

You don’t need to arrive at every Physics lesson knowing exactly what will happen.

However, a little preparation makes practical activities much more useful.

Before the practical

Read the task instructions and identify:

  • The aim of the investigation.
  • The independent and dependent variables.
  • The variables that need to be controlled.
  • The equipment you’ll be using.
  • The measurements you’ll need to record.

If you’re investigating motion, for example, you should understand how the equipment measures time, distance, or velocity.

During the practical

Pay attention to how measurements are collected.

Record your actual results, include units, and repeat measurements where appropriate. Follow your teacher’s safety instructions, including requirements for protective equipment, footwear, and handling apparatus.

Don’t change an experimental result because it doesn’t match your prediction. An unexpected result is something to investigate, not something to hide.

After the practical

This is where much of the scientific reasoning happens.

You may need to:

  • Calculate averages or other useful quantities.
  • Draw and interpret graphs.
  • Identify trends and relationships.
  • Compare experimental results with theoretical predictions.
  • Discuss uncertainty and possible sources of error.
  • Suggest improvements to the experimental method.
  • Write a conclusion supported by evidence.

A practical report should do more than describe what you did. It should explain what the measurements tell you about the physics.

For a closer look at how investigations and larger projects fit into senior science, see What Is a Depth Study in HSC Science?.

06What Physics topics will you actually study?

The topics depend on your Year group and the syllabus that applies to your cohort.

This is particularly important because NSW is transitioning to a replacement Physics syllabus.

Current as at 9 November 2026

Which syllabus applies to you?

The Physics Stage 6 Syllabus (2017) is still being taught to students in 2026.

NESA’s replacement Physics 11-12 Syllabus (2025) has a different implementation schedule:

Student cohortApplicable course
Year 11 in 20262017 syllabus
Year 12 in 20262017 syllabus
Year 11 in 2027New 2025 syllabus
Year 12 in 20272017 syllabus
Year 11 in 2028New 2025 syllabus
Year 12 in 2028New 2025 syllabus

The new syllabus starts teaching Year 11 in Term 1 of 2027. Its Year 12 course begins in Term 4 of 2027, and the first HSC examination for the replacement course will be in 2028.

If you’re starting Year 11 in 2027, the new syllabus is the one to follow. If you’re currently in Year 11 in 2026, you’ll continue with the 2017 course in Year 12.

This also explains why some online Physics resources use different topic names. The old Module 1-8 structure belongs to the 2017 syllabus. Don’t assume those module labels describe the replacement course.

You can check the official NESA Physics syllabus and implementation information.

What does the new syllabus cover?

The replacement syllabus organises Physics around seven focus areas.

Year 11Year 12
Fundamentals of mechanicsAdvanced mechanics
WavesElectromagnetism
Electricity and magnetismNature of light
Matter, energy and the cosmos

Each year’s course has 120 indicative hours, including 10 hours of depth studies.

At least one depth study must be completed in each year. These investigations allow you to explore an area of Physics in greater depth, applying scientific knowledge and investigation skills.

Importantly, Working scientifically is integrated throughout the course. It includes:

  • Asking questions and making predictions.
  • Planning and conducting investigations.
  • Processing and analysing data.
  • Solving scientific problems.
  • Communicating scientific arguments using evidence.

So you won’t finish the theory and then suddenly start doing science. The investigation skills develop alongside the physics concepts.

The official NESA course structure explains the focus areas, hours, and depth study requirements.

07What is fixed by NESA, and what depends on your school?

Two students studying HSC Physics at different schools can have quite different classroom experiences.

One school might use timing gates and electronic data collection regularly. Another might rely more heavily on video analysis, simulations, and teacher demonstrations.

Both can teach the required Physics content.

It’s useful to separate three things:

AreaWho determines it?
Syllabus content and required outcomesNESA
Mandatory course requirements and assessment rulesNESA
Lesson order, teaching approach, and choice of practical equipmentSchool and teacher
Number, type, and weighting of in-school assessment tasksSchool, within NESA requirements

For the new syllabus, NESA also specifies the components of the Year 12 school-based assessment program:

  • Skills in Working scientifically: 60%.
  • Knowledge and understanding of course content: 40%.

These are school-based assessment component weightings. They do not mean that 60% of your lessons must be practical experiments.

Schools have discretion over the number, type, and weighting of their in-school assessment tasks, subject to NESA’s rules.

There are also current restrictions on take-home assessments. Under the ACE rules updated in September 2026, a school may set a maximum of one take-home assessment task per HSC course, worth no more than 15% of the school-based assessment mark.

You can read the current NESA rules for formal school-based assessment.

The practical consequence is that your teacher’s lesson plan and your school’s assessment schedule are not necessarily identical to those at another school. Ask your school for its assessment schedule rather than assuming every Physics class follows the same timetable.

08Does the style of learning suit you?

Physics suits students who are interested in understanding why things happen, not just remembering that they happen.

You might enjoy the subject if you like:

  • Working out how and why objects move.
  • Solving problems using equations and mathematical relationships.
  • Looking at graphs and identifying patterns.
  • Investigating whether a scientific prediction is correct.
  • Explaining how technology and physical systems work.

You don’t need to love every practical experiment or find every calculation easy.

Some students particularly enjoy the mathematical side. Others prefer investigating physical phenomena, interpreting experimental results, or explaining concepts. You’ll encounter all these activities throughout the course.

It’s also worth being realistic about the mathematics. Physics involves algebra, rearranging equations, using units, interpreting graphs, and applying mathematical relationships to unfamiliar situations.

If you’re unsure about the maths involved, these two guides explain the relationship in more detail:

A note about university prerequisites and scaling

It’s worth separating your experience in a Physics classroom from university admission requirements.

NESA’s new Physics syllabus lists no prerequisite for Year 11 Physics, while Year 12 Physics requires completion of Year 11 Physics. These are HSC course enrolment requirements, not university admission rules.

Universities set their own entry requirements. The UAC’s Steps to Uni for Year 10 Students (2026) distinguishes between:

  • Course prerequisites: subjects or results you must have to qualify for entry.
  • Assumed knowledge: knowledge the university expects you to have, even if it isn’t a formal entry requirement.
  • Recommended studies: subjects that may help prepare you for the degree.

For example, the University of Sydney explains that assumed knowledge isn’t required to receive an offer, but students without it may find the course more challenging.

Check the requirements for your intended degree and entry year using the UAC 2026 course selection guide and the relevant university’s official course information. You can also read the University of Sydney’s explanation of prerequisites and assumed knowledge.

Similarly, don’t choose Physics because someone promises it will give you a particular ATAR advantage.

UAC calculates the ATAR using scaled marks, and scaling changes from year to year. Physics doesn’t carry a fixed bonus that automatically improves your ATAR. Your actual result matters, as does the performance of the cohort used in the scaling process.

The UAC explanation of how your ATAR is calculated explains this in more detail.

Ultimately, your interest in the subject, your preparation, and your intended university pathway are separate considerations. It’s worth considering each rather than relying on a single claim about Physics.

08Questions and solutions

Question 1

A trolley starts from rest and accelerates uniformly at \(0.50\text{ m/s}^2\) for \(4.0\text{ s}\).

Calculate:

a) Its final velocity.

b) The displacement it travels during this time.

Solution 1

The final velocity is \(2.0\text{ m/s}\), and the displacement is \(4.0\text{ m}\).

Part a: Final velocity

Use the equation:

\[ v=u+at \]

Substitute the values:

\[ \begin{aligned} v&=0+(0.50)(4.0)\\\ &=2.0\text{ m/s} \end{aligned} \]

Part b: Displacement

Use:

\[ s=ut+\frac{1}{2}at^2 \]

Substitute:

\[ \begin{aligned} s&=(0)(4.0)+\frac{1}{2}(0.50)(4.0)^2\\\ &=4.0\text{ m} \end{aligned} \]

The trolley travels four metres while reaching a final velocity of two metres per second.

Question 2

A car travels along a straight road according to the following motion:

  • It accelerates uniformly from rest to \(2.0\text{ m/s}\) over \(4.0\text{ s}\).
  • It maintains a constant velocity of \(2.0\text{ m/s}\) for the next \(3.0\text{ s}\).
  • It then decelerates uniformly to rest over \(2.0\text{ s}\).

Calculate:

a) The total displacement.

b) The average speed over the entire journey.

Solution 2

The total displacement is \(12\text{ m}\), and the average speed is approximately \(1.33\text{ m/s}\).

Part a: Total displacement

The area underneath a velocity-time graph represents displacement.

Break the journey into three sections.

First, the acceleration phase forms a triangle:

\[ s_1=\frac{1}{2}(4.0)(2.0)=4.0\text{ m} \]

Second, the constant-velocity phase forms a rectangle:

\[ s_2=(3.0)(2.0)=6.0\text{ m} \]

Third, the deceleration phase forms another triangle:

\[ s_3=\frac{1}{2}(2.0)(2.0)=2.0\text{ m} \]

Add the three displacements:

\[ s_{\text{total}}=4.0+6.0+2.0 \]

\[ \boxed{s_{\text{total}}=12\text{ m}} \]

Part b: Average speed

Average speed is total distance divided by total time.

\[ v_{\text{avg}}=\frac{\text{total distance}}{\text{total time}} \]

The total time is:

\[ t=4.0+3.0+2.0=9.0\text{ s} \]

Therefore:

\[ v_{\text{avg}}=\frac{12}{9.0} \]

\[ \boxed{v_{\text{avg}}=1.33\text{ m/s}} \]

A tempting mistake is to average the initial and final velocities. Both are zero, but that doesn’t mean the average speed is zero.

The car travelled a total distance of 12 metres. Average speed must account for the entire journey, including the time spent travelling at constant velocity.

Question 3

A student investigates the motion of a trolley released from rest down an inclined track.

Video analysis produces the following illustrative measurements:

Time (s)Displacement (m)
1.00.48
2.01.96
3.04.40

a) Calculate the acceleration using each measurement.

b) Determine whether the results are consistent with constant acceleration.

c) Explain why plotting displacement against time squared would be useful.

d) Suggest one improvement to the experimental method.

Solution 3

The measurements are consistent with approximately constant acceleration of \(0.97\text{ m/s}^2\).

Part a: Calculate the acceleration

The trolley starts from rest, so \(u=0\).

Use:

\[ s=ut+\frac{1}{2}at^2 \]

This simplifies to:

\[ a=\frac{2s}{t^2} \]

Calculate the acceleration for each measurement.

At \(t=1.0\text{ s}\):

\[ a_1=\frac{2(0.48)}{1.0^2} =0.96\text{ m/s}^2 \]

At \(t=2.0\text{ s}\):

\[ a_2=\frac{2(1.96)}{2.0^2} =0.98\text{ m/s}^2 \]

At \(t=3.0\text{ s}\):

\[ a_3=\frac{2(4.40)}{3.0^2} =0.978\text{ m/s}^2 \]

The average acceleration is:

\[ \begin{aligned} a_{\text{avg}} &=\frac{0.96+0.98+0.978}{3}\\\ &\approx0.97\text{ m/s}^2 \end{aligned} \]

Part b: Assess the results

The three calculated accelerations are very similar.

This suggests that the trolley experiences approximately constant acceleration throughout the measured interval.

Small differences are expected in experimental data because measurements have uncertainty.

Part c: Explain the graph

For an object starting from rest with constant acceleration:

\[ s=\frac{1}{2}at^2 \]

This means displacement is directly proportional to time squared.

A graph of displacement against time squared should therefore produce an approximately straight line through the origin.

Its gradient is half the acceleration.

Part d: Improve the experiment

Repeat each measurement several times and calculate the average.

This reduces the influence of random measurement errors. Video analysis or electronic timing equipment can also improve timing precision.

Importantly, repeating measurements doesn’t automatically remove systematic errors, such as an incorrectly calibrated measuring instrument.

Question 4

A student generates transverse waves along a stretched string.

Initially, the wave has a frequency of \(5.0\text{ Hz}\) and a wavelength of \(0.80\text{ m}\).

The student doubles the frequency to \(10.0\text{ Hz}\), while keeping the string tension and the string itself unchanged.

Calculate the new wavelength and explain why the wave speed does or does not change.

Solution 4

The new wavelength is \(0.40\text{ m}\), while the wave speed remains \(4.0\text{ m/s}\).

Step 1: Calculate the original wave speed.

Use:

\[ v=f\lambda \]

Substitute:

\[ \begin{aligned} v&=(5.0)(0.80)\\\ &=4.0\text{ m/s} \end{aligned} \]

Step 2: Determine the new wavelength.

The string tension and the string’s mass per unit length remain unchanged.

Therefore, the wave speed remains constant.

Rearrange the wave equation:

\[ \lambda=\frac{v}{f} \]

Substitute:

\[ \begin{aligned} \lambda&=\frac{4.0}{10.0}\\\ &=0.40\text{ m} \end{aligned} \]

Step 3: Explain the physical relationship.

The wave travels through the same medium under the same conditions, so its speed doesn’t increase when the frequency increases.

Instead, the wavelength decreases to compensate.

This is an important distinction: increasing the frequency of a wave doesn’t necessarily make it travel faster.

Question 5

A student investigates a trolley connected to a hanging mass using a light string passing over a low-friction pulley.

The trolley has a mass of \(0.80\text{ kg}\), and the hanging mass has a mass of \(0.20\text{ kg}\).

Initially, the hanging mass accelerates downwards, pulling the trolley along a horizontal track.

When the hanging mass reaches the floor, the string becomes slack. The trolley continues moving and then decelerates at \(0.40\text{ m/s}^2\).

The measured acceleration of the connected system before the hanging mass reaches the floor is \(1.65\text{ m/s}^2\).

Assume:

  • Kinetic friction acts only on the trolley.
  • The coefficient of kinetic friction remains constant.
  • The hanging mass remains stationary after reaching the floor.
  • The string and pulley have negligible mass, and pulley resistance is negligible.
  • The trolley continues moving in the same direction throughout the observations.

Take gravitational acceleration as \(9.8\text{ m/s}^2\).

a) Calculate the coefficient of kinetic friction between the trolley and track.

b) Use this coefficient to predict the acceleration of the connected system before the hanging mass reaches the floor.

c) Explain why the trolley continues moving after the hanging mass reaches the floor, and assess whether the experimental measurements support the model.

Solution 5

The coefficient of kinetic friction is approximately \(0.041\). Using this value, the predicted initial acceleration is approximately \(1.64\text{ m/s}^2\), which agrees closely with the measured \(1.65\text{ m/s}^2\).

The key is to recognise that the experiment has two different stages. The forces acting on the trolley change when the hanging mass reaches the floor.

Part a: Calculate the coefficient of kinetic friction

After the hanging mass reaches the floor, the string becomes slack.

The trolley is now moving horizontally with friction as its only horizontal force.

Using Newton’s second law:

\[ F_{\text{net}}=ma \]

The frictional force is:

\[ F_f=\mu_k Mg \]

where:

  • \(\mu_k\) is the coefficient of kinetic friction.
  • \(M\) is the trolley’s mass.
  • \(g\) is gravitational acceleration.

Since the trolley decelerates at \(0.40\text{ m/s}^2\):

\[ \mu_k Mg=M(0.40) \]

Cancel the trolley’s mass:

\[ \mu_k=\frac{0.40}{9.8} \]

\[ \boxed{\mu_k\approx0.041} \]

Part b: Predict the acceleration before the hanging mass reaches the floor

Now consider the first stage, when the two masses are connected.

The hanging mass provides the driving force through the string. However, friction opposes the trolley’s motion.

The net driving force on the combined system is:

\[ F_{\text{net}}=mg-\mu_k Mg \]

The total accelerating mass is:

\[ M_{\text{total}}=M+m \]

Using Newton’s second law:

\[ a=\frac{mg-\mu_k Mg}{M+m} \]

Substitute the values:

\[ a= \frac{(0.20)(9.8)-(0.041)(0.80)(9.8)} {0.80+0.20} \]

\[ a=\frac{1.96-0.32}{1.00} \]

\[ \boxed{a=1.64\text{ m/s}^2} \]

Part c: Explain the motion and evaluate the model

The predicted acceleration of \(1.64\text{ m/s}^2\) is very close to the measured acceleration of \(1.65\text{ m/s}^2\).

This supports the proposed model within the precision of the measurements.

The trolley doesn’t stop immediately when the hanging mass reaches the floor. It already has velocity, and an object doesn’t need a continuing driving force to maintain motion.

Instead, friction provides a net force opposite to its motion, causing it to decelerate.

There are two tempting mistakes here.

First, you might calculate:

\[ a=\frac{mg}{M+m} \]

This gives \(1.96\text{ m/s}^2\), but ignores friction acting on the trolley.

Second, you might assume the hanging mass’s weight acts directly on the trolley and calculate \(mg/M\). This also fails because the string transmits a tension force, and both masses accelerate together.

The important insight is that you can use measurements from one stage of an experiment to test the physical model of another stage.

That’s a more powerful approach than treating each calculation as an isolated problem.

Understanding a typical HSC Physics lesson means recognising the relationship between a physical model, a mathematical prediction, an experimental result, and the explanation connecting them.

As you progress through the course, the situations become more complex, but this way of thinking remains useful. The next step is becoming comfortable applying the same reasoning to unfamiliar problems involving mechanics, waves, electricity, and electromagnetism.