Energy Stores and Transfers Notes

AQA GCSE Physics: Revision notes

Key facts

  • Energy is held in stores (kinetic, thermal, gravitational potential, elastic potential, chemical, nuclear) and transferred when a system changes.
  • Total energy is conserved: it is only redistributed.
  • Ek=12mv2E_k = \frac{1}{2}mv^2, Ee=12ke2E_e = \frac{1}{2}ke^2, Ep=mghE_p = mgh, ΔE=mcΔθ\Delta E = mc\Delta\theta.
  • Power is the rate of energy transfer: P=EtP = \dfrac{E}{t}, in watts.

Systems and energy stores

When a system changes, energy is transferred between stores. Always name the store that decreases and the stores that increase.

A system is an object or group of objects. When it changes, energy moves between energy stores: kinetic, thermal, gravitational potential, elastic potential, chemical and nuclear.

For everyday changes, name every store involved. Marks are given for the store that decreases and the stores that increase.

  1. 1

    Thrown up

    kinetic store is large

  2. 2

    Rising

    kinetic store decreases, gravitational potential store increases

  3. 3

    Top

    kinetic store is zero, gravitational potential store is greatest

  4. 4

    Falling

    gravitational potential store decreases, kinetic store increases

A ball thrown upwards

Thrown upwards

Store decreases:
Kinetic
Store increases:
Gravitational potential

Hits an obstacle

Store decreases:
Kinetic
Store increases:
Thermal (and sound)

Vehicle slows

Store decreases:
Kinetic
Store increases:
Thermal (brakes, surroundings)

Boiling water

Store decreases:
Chemical (fuel)
Store increases:
Thermal (water)

A car brakes to a stop. Which stores change?

Ways energy is transferred

Energy is transferred by heating, by work done by a force, or by work done when a current flows. The total never changes.

Energy can be transferred to or from a system by heating, by work done by a force, or by work done when a current flows.

A Sankey-style bar shows how the total is redistributed. The total energy before and after a change is always the same.

  • Energy is conservedtotal before = total after

Heating

  • A hob warming a pan of water

Work done by a force

  • Pushing a box along the floor

Work done by a current

  • A motor lifting a load

A system has 500 J of energy before a change. How much does it have after, in total?

Kinetic and elastic energy

Kinetic energy depends on mass and the square of the speed; elastic energy depends on the spring constant and the square of the extension.

Kinetic energy is the energy of a moving object: Ek=12mv2E_k = \frac{1}{2}mv^2 (J, with mass in kg and speed in m/s).

Elastic potential energy is stored in a stretched or compressed spring, if the limit of proportionality is not exceeded: Ee=12ke2E_e = \frac{1}{2}ke^2 (spring constant in N/m, extension in m).

  • Kinetic energyEk=12mv2E_k = \frac{1}{2}mv^2
  • Elastic energyEe=12ke2E_e = \frac{1}{2}ke^2
123456510152025303540xy2 kg at 3 m/s: 9 JE = ½mv²
Kinetic energy against speed: drag the slider to change mass

Worked example

A 2 kg trolley moves at 3 m/s. Find its kinetic energy.

A trolley's speed doubles. What happens to its kinetic energy?

Gravitational and thermal energy

Gravitational potential energy is mghmgh; the change in thermal energy is mcΔθmc\Delta\theta.

Gravitational potential energy depends on height: Ep=mghE_p = mgh, with gg given in the exam.

The change in thermal energy depends on mass, specific heat capacity and temperature change: ΔE=mcΔθ\Delta E = mc\Delta\theta. Specific heat capacity is the energy needed to raise 1 kg of a substance by 1 °C.

  • Gravitational potentialEp=mghE_p = mgh
  • Thermal energy changeΔE=mcΔθ\Delta E = mc\Delta\theta

Worked example

How much energy is needed to heat 2 kg of water by 20 °C? (specific heat capacity of water = 4200 J/kg °C)

A 3 kg object is lifted 5 m. With g = 10 N/kg, what is the gain in gravitational potential energy?

Power

Power is the rate of energy transfer: the same energy transferred in less time means more power.

Power is the rate of energy transfer or the rate of doing work, measured in watts. Two motors lifting the same weight through the same height transfer the same energy, but the one that does it faster is more powerful.

  • PowerP=EtP = \dfrac{E}{t}
  • PowerP=WtP = \dfrac{W}{t}

Worked example

A motor transfers 500 J of energy in 10 s. Find its power.

Two motors each do 600 J of work. Motor A takes 10 s and motor B takes 20 s. Which is more powerful?

Try an exam question

A trolley of mass 2 kg moves at 3 m/s. Calculate its kinetic energy. The trolley is stopped by brakes in 3 s. Calculate the power of the brakes.

[4 marks]

That's the notes covered.

Carry on to the next subtopic.