CSEC PHYSICS · SECTION A · LESSON A13

Potential Energy, Kinetic Energy and Conservation of Energy

Defining and calculating gravitational potential energy (mgh) and kinetic energy (½mv²), and applying the conservation of energy to falling objects, swings and pendulums.

MechanicsA 5.6A 5.7A 5.8A 5.9A 5.10≈ 45 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 A13 · EXPLAINER

Potential Energy, Kinetic Energy and Conservation of Energy

Drop a ball from a roof and its energy simply changes label: stored height energy becomes movement energy, with the total unchanged all the way down.

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

Explore in 3D

Energy conservation in 3D

Watch potential and kinetic energy swap while the total stays constant.

Step 2 · Read

Key notes

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

Potential energy

Energy due to position or condition (raised, stretched, chemical).

Gravitational PE

E_p = mgh; unit J.

Kinetic energy

E_k = ½mv²; unit J.

Doubling v

E_k becomes four times as large.

Conservation

Energy cannot be created or destroyed; it changes form.

Falling object

mgh lost = ½mv² gained (no air resistance); v = √(2gh).

Pendulum

Max E_p at the ends; max E_k at the bottom.

Real systems

Some energy becomes thermal (friction, air resistance).

EXAM TIPS & COMMON MISTAKES

  • Use g = 10 N/kg (or m/s²) as the syllabus does unless the question gives another value.
  • Square the velocity BEFORE multiplying by ½m: ½ × m × (v²).
  • Write the formula, substitute, and give the unit (J) to earn all the marks.
  • To compare energies at two heights, use the difference in height.
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 5.7

1. The gravitational potential energy of a 2.0 kg mass raised 3.0 m is (g = 10 N/kg)

Answer: D. mgh = 2.0 × 10 × 3.0 = 60 J.
Syllabus A 5.9

2. The kinetic energy of a 4.0 kg trolley moving at 3.0 m/s is

Answer: A. ½ × 4.0 × 3.0² = 18 J.
Syllabus A 5.9

3. If the speed of a moving object doubles, its kinetic energy

Answer: B. E_k ∝ v².
Syllabus A 5.10

4. A ball falls freely from rest. As it falls, its

Answer: C. Loss in E_p = gain in E_k.
Syllabus A 5.10

5. A pendulum bob is released from a height 0.20 m above its lowest point (g = 10 m/s²). Its speed at the lowest point is

Answer: D. v = √(2gh) = √(2 × 10 × 0.20) = 2.0 m/s.
Syllabus A 5.6

6. Which of the following has gravitational potential energy?

Answer: A. It is raised above the ground.
Syllabus A 5.10

7. At the lowest point of a swing, the swing has maximum

Answer: B. All the lost potential energy has become kinetic.
Syllabus A 5.10

8. A 0.50 kg ball is thrown vertically upward at 10 m/s. The maximum height (ignoring air resistance, g = 10 m/s²) is

Answer: C. ½ × 0.50 × 100 = 25 J = 0.50 × 10 × h gives h = 5.0 m.
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 · Potential and kinetic energy

Question 1 [15 marks]

A ball of mass 0.50 kg is released from rest at a height of 5.0 m above the ground. Take g = 10 m/s² and ignore air resistance.

(a) (a) Define gravitational potential energy. [2]

MARK SCHEME — (a) (max 2)

(b) (b) Calculate the potential energy of the ball at the start. [3]

MARK SCHEME — (b) (max 3)

(c) (c) State the kinetic energy of the ball just before it hits the ground, and give a reason. [2]

MARK SCHEME — (c) (max 2)

(d) (d) Calculate the speed of the ball just before it hits the ground. [3]

MARK SCHEME — (d) (max 3)

(e) (e) Calculate the kinetic energy and the potential energy when the ball is 2.0 m above the ground. [3]

MARK SCHEME — (e) (max 3)

(f) (f) In practice the ball’s speed is slightly less than your answer to (d). Explain why. [2]

MARK SCHEME — (f) (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.