The key idea
Energy is conserved: it is transferred between stores rather than used up.
energy transferred = power x time
Use the labels to explain the scientific relationship shown.
The bit that matters
Short notes first. Learn the idea, then use the worked example and questions to check it properly.
Energy stores
Energy is stored in different ways: kinetic (movement), gravitational potential (height in a gravitational field), elastic potential (stretched or compressed objects), thermal (internal), chemical (fuels, food, batteries), nuclear, magnetic and electrostatic.Energy is never created or destroyed, only transferred between stores.The total energy of a closed system stays constant — this is the principle of conservation of energy.
Energy transfers
Energy is shifted between stores by four pathways: mechanically (a force doing work), electrically (a current doing work), by heating, and by radiation (such as light or sound waves).For example, a falling object transfers energy mechanically from a gravitational potential store to a kinetic store.When a current flows through a resistor, energy is transferred electrically and then by heating to the surroundings.
Kinetic and gravitational energy
5 x m x v2, with energy in J, mass in kg and speed in m/s. 8 N/kg on Earth.5 x m x v2 = m x g x h if there is no air resistance.
Elastic potential energy
5 x k x e2, provided the limit of proportionality is not exceeded.Energy is in J, spring constant k in N/m and extension e in m.When the spring is released this store transfers to a kinetic store.
Definitions to learn
Energy store
A way energy is held, such as kinetic, thermal or chemical.
Conservation of energy
Energy cannot be created or destroyed, only transferred.
Closed system
A system where no energy enters or leaves; total energy is constant.
Work done
Energy transferred when a force moves an object.
Dissipation
Energy spreading out to the surroundings, usually as wasted thermal energy.
A 60 W lamp is switched on for 180 s. Calculate the energy transferred.
Use E = Pt.
Substitute E = 60 × 180.
Include the unit joules.
10,800 J
Write the equation first, substitute values with units, calculate, then state the unit.Use 'transferred to' not 'used up' — energy is conserved.
Do not confuse power in watts with energy in joules.
How to score full marks
- 1Use the words store and transfer carefully — never say energy is created, used up or lost.
- 2For kinetic energy the speed is squared; doubling the speed gives four times the energy.
- 3State units in your final answer; energy is always in joules (J) unless told otherwise.
Test yourself
Pick an answer — you'll see instantly if it's right.
A 50 W lamp runs for 60 s. How much energy is transferred?
Which statement about energy is correct?
A device has a power of 2 kW and runs for 3 minutes. What is the energy transferred in joules?
Which unit is used to measure energy?
A 400 W motor transfers 12,000 J. How long did it run?
Try these yourself
Start with the core skill, then open the answer only after you have attempted the full question.
1A 2 kW heater runs for 5 minutes. Calculate the energy transferred.
- 1.Convert 2 kW to 2000 W and 5 minutes to 300 s.
- 2.Use E = Pt.
2A device transfers 36 kJ in 2 minutes. Calculate its power.
- 1.Convert 36 kJ to 36,000 J and 2 minutes to 120 s.
- 2.Use P = E / t.
3Explain why a phone battery becomes warm while charging.
- 1.Energy is transferred electrically.
- 2.Some energy is dissipated to the thermal store of the surroundings.
4Name the energy store that increases as a car speeds up on a flat road.[1 mark]
- 1.Speeding up means the car is moving faster.
- 2.Movement is linked to the kinetic store.
5Calculate the kinetic energy of a 1200 kg car travelling at 15 m/s.[2 marks]
- 1.Use Ek = 0.5 x m x v2.
- 2.Substitute m = 1200 and v = 15.
- 3.Square the speed first, then multiply.
6A 2.0 kg book is lifted 1.5 m onto a shelf. Calculate the gain in gravitational potential energy. Take g = 9.8 N/kg.[2 marks]
- 1.Use Ep = m x g x h.
- 2.Substitute m = 2.0, g = 9.8, h = 1.5.
7A spring with spring constant 200 N/m is stretched by 0.10 m. Calculate the elastic potential energy stored.[2 marks]
- 1.Use Ee = 0.5 x k x e2.
- 2.Substitute k = 200 and e = 0.10.
- 3.Square the extension before multiplying.
8A 0.50 kg ball is dropped from a height of 1.8 m. Assuming no air resistance, calculate its speed just before it hits the ground. Take g = 9.8 N/kg.[3 marks]
- 1.At the top all energy is gravitational potential; at the bottom all is kinetic.
- 2.Set m x g x h = 0.5 x m x v2.
- 3.Mass cancels, so g x h = 0.5 x v2.
- 4.Rearrange to v = square root of (2 x g x h).
9State the principle of conservation of energy and explain what it means for a closed system.[2 marks]
- 1.Define conservation of energy.
- 2.Apply to a closed system.
10A 3.0 kg toy car rolls down a ramp from a height of 0.50 m. Assuming all gravitational potential energy converts to kinetic energy, calculate the speed at the bottom. Take g = 9.8 N/kg.[3 marks]
- 1.Calculate Ep = m x g x h.
- 2.Set Ep equal to Ek = 0.5 x m x v2.
- 3.Mass cancels; rearrange v = square root of (2 x g x h).
- 4.Substitute and evaluate.
11The speed of the toy car in the previous question is measured at the bottom as 2.8 m/s, which is less than your calculated value. Explain this difference.[3 marks]
- 1.Identify that kinetic energy is less than expected.
- 2.Link to energy being dissipated.
- 3.Name the pathway and destination store.
12Describe the energy store changes when a catapult is pulled back and then releases a stone. Name three stores involved.[3 marks]
- 1.Identify energy in each stage.
- 2.Pulling back — elastic store.
- 3.Release — elastic to kinetic.
- 4.In flight — kinetic and gravitational potential.
13A skateboarder of mass 65 kg rolls along a flat surface at 6.0 m/s, then reaches the top of a ramp of height h before stopping. Calculate h, assuming no energy is dissipated. Take g = 9.8 N/kg.[3 marks]
- 1.All kinetic energy converts to gravitational potential energy.
- 2.Set 0.5 x m x v2 = m x g x h.
- 3.Mass cancels; rearrange h = v2 / (2 x g).
- 4.Substitute v = 6.0 and g = 9.8.
14Evaluate the claim: 'A heavier ball dropped from the same height will hit the ground faster than a lighter ball.' Use equations to support your answer, assuming no air resistance.[3 marks]
- 1.Write the energy conservation equation: m x g x h = 0.5 x m x v2.
- 2.Cancel mass from both sides.
- 3.Show that speed depends only on g and h.
- 4.Conclude that mass has no effect.
15A 500 g ball bearing is fired vertically upward from a spring gun. The spring has a constant of 800 N/m and was compressed by 0.12 m. Calculate the maximum height the ball reaches. Take g = 9.8 N/kg and assume no energy is dissipated.[3 marks]
- 1.Calculate the elastic potential energy stored: Ee = 0.5 x k x e2.
- 2.Set Ee equal to gravitational potential energy at the top: m x g x h.
- 3.Rearrange for h = Ee / (m x g).
- 4.Convert 500 g to 0.50 kg.
16Explain, using the ideas of energy stores and pathways, why no device can be 100% efficient. In your answer, refer to dissipation and the surroundings.[4 marks]
- 1.Define what efficiency means in terms of energy stores.
- 2.Explain why some energy always escapes.
- 3.Name the pathway by which energy is wasted.
- 4.Refer to the surroundings.