CSEC PHYSICS · SECTION A · LESSON A1

The Scientific Method, Galileo and the Simple Pendulum

How Galileo’s careful observation and experiment shaped physics, the steps of the scientific method, and an investigation of the factors that affect the period of a simple pendulum.

MechanicsA 1.1A 1.2A 1.3≈ 40 min🎮 3 games
Before you start

By the end of this lesson you can…

Step 1 · Watch

Explainer video

5 narrated scenes. Press play, listen and read along — the points appear as they are explained. Use ‹ Prev / Next › or the scene bar to jump to any scene.

LESSON A1 · EXPLAINER

The Scientific Method, Galileo and the Simple Pendulum

Galileo is said to have timed a swinging lamp against his own pulse. From that kind of patient measurement, modern physics began.

Narration uses your device’s built-in voice. No sound? Switch to “Captions only” — the captions advance on their own.

Explore in 3D

The simple pendulum in 3D

Change the length and the starting angle. Watch the period and the swap between potential and kinetic energy.

Step 2 · Read

Key notes

Copy these into your notebook in your own words — that is how they stick.

Scientific method

Observe → hypothesis → experiment (one variable changed, others controlled) → analyse → conclude → share.

Galileo

Used observation, measurement and experiment (inclined plane, telescope) rather than authority alone.

Period

T = time for ONE complete oscillation = total time ÷ number of oscillations.

Pendulum factors

Length changes T; mass and (small) amplitude do not.

Graphs

T against L is a curve. T² against L is a straight line through the origin.

Gradient

T² = (4π²/g)L so gradient = 4π²/g and g = 4π²/gradient.

Variables

Manipulated (changed), responding (measured), controlled (kept the same).

Reliability

Repeat readings and take an average; time many oscillations.

EXAM TIPS & COMMON MISTAKES

  • Always say which variable is changed, which is measured and which are kept constant.
  • The period is for ONE oscillation: divide the total time by the number of oscillations.
  • Measure the length of a pendulum to the CENTRE of the bob, not to the top of it.
  • Never plot T against mass or amplitude and expect a slope — the period does not depend on them.
Play & practise

Games

3 quick games on this lesson. Earn XP and badges as you play — your best score for each game is saved. Games are for practice and do not change your exam readiness. More games in the Physics Arcade.

Step 3 · Practise

Paper 1 practice — multiple choice

8 items modelled on real CSEC Paper 1 questions. Choose one answer for each, then check. Aim for 80% or better. Work each item on paper first.

Syllabus A 1.1

1. In the scientific method, a hypothesis is

Answer: A. A hypothesis is a testable explanation or prediction that experiments can support or reject.
Syllabus A 1.1

2. Which statement best describes Galileo’s contribution to physics?

Answer: B. Galileo relied on observation, measurement and experiment, not authority alone.
Syllabus A 1.2

3. The period of a pendulum is the time for

Answer: C. Period T is the time for one complete oscillation.
Paper 1 style

4. A pendulum completes 20 oscillations in 36.0 s. Its period is

Answer: D. T = 36.0 ÷ 20 = 1.8 s.
Syllabus A 1.2

5. Which change would NOT significantly affect the period of a simple pendulum swinging through small angles on Earth?

Answer: A. The period is independent of the mass of the bob for small angles.
Paper 1 style

6. The length of a pendulum is increased from 0.25 m to 1.00 m. The period

Answer: B. T is proportional to √L; L increased four times so T doubles.
Syllabus A 1.3

7. Which graph gives a straight line through the origin for a simple pendulum?

Answer: C. T² = (4π²/g)L is of the form y = mx.
Syllabus A 1.2

8. A student times 20 oscillations instead of 1 mainly to

Answer: D. The same reaction-time error spread over 20 oscillations is a smaller fraction of the total time.
Step 4 · Apply

Paper 2 practice — structured questions

Write full answers, then reveal the mark scheme and tick the points you earned (15 marks in total). Show all your working — method marks count. Your answers are saved on this device.

Paper 2 style · Pendulum investigation

Question 1 [15 marks]

A student investigates the period T of a simple pendulum of length L by timing 20 oscillations for each length.

(a) (a) Define the period of a pendulum. [1]

MARK SCHEME — (a) (max 1)

(b) (b) Give two reasons why the student times 20 oscillations rather than one. [2]

MARK SCHEME — (b) (max 2)

(c) (c) For L = 0.60 m, 20 oscillations took 31.2 s. Calculate (i) the period T and (ii) T². [3]

MARK SCHEME — (c) (max 3)

(d) (d) State which graph should be plotted to give a straight line through the origin. [1]

MARK SCHEME — (d) (max 1)

(e) (e) The line passes through the origin and the point (1.00 m, 4.02 s²). Calculate the gradient and state its unit. [3]

MARK SCHEME — (e) (max 3)

(f) (f) Use the gradient to calculate the acceleration due to gravity g, given gradient = 4π²/g. [3]

MARK SCHEME — (f) (max 3)

(g) (g) State two precautions that improve the accuracy of the experiment. [2]

MARK SCHEME — (g) (max 2)

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Sources

Where this topic appears in CSEC papers

Find these in your own past-paper booklets for extra timed practice. Items above are written in the style of these papers; any adapted from a specific question say so.