Energy, work, power and pressure
Energy stores and transfers, kinetic and potential energy, work, power, efficiency, energy resources and pressure.
📌 Key points
- Energy stores include kinetic, gravitational potential, chemical, elastic (strain), nuclear, electrostatic and internal (thermal).
- Energy is transferred by forces (mechanical work), electrical currents, heating, and waves. Energy is conserved: it cannot be created or destroyed.
- In every real transfer some energy is dissipated, usually by heating the surroundings.
- Kinetic energy Eₖ = 12mv2. Change in gravitational potential energy ΔEₚ = mgΔh.
- Work done = force × distance moved in the direction of the force, W = Fd = ΔE. Work is measured in joules.
- Power = work donetime taken = energy transferredtime taken. 1 W = 1 J/s.
- Efficiency = useful energy outputtotal energy input × 100% (or the same with powers).
- Renewable resources: solar, wind, hydroelectric, tidal, waves, geothermal, biofuels. Non-renewable: fossil fuels and nuclear fuel. The Sun is the source of all of them except geothermal, nuclear and tidal.
- Pressure = forcearea, p = FA, in pascals (1 Pa = 1 N/m2). In a liquid, pressure increases with depth and density: Δp = ρgΔh.
📖 Key terms
- Work done
- Force × distance moved in the direction of the force.
- Power
- Work done (or energy transferred) per unit time.
- Efficiency
- Useful energy output ÷ total energy input, often as a percentage.
- Kinetic energy
- Energy stored in a moving object.
- Gravitational potential energy
- Energy stored because of an object’s height in a gravitational field.
- Renewable resource
- An energy resource that is not used up, because it is replaced naturally.
- Pressure
- Force per unit area.
✏️ Worked example
A 0.50 kg ball is dropped from a height of 3.2 m. Ignoring air resistance, find its speed just before it hits the ground. (g = 9.8 m/s2)
- Loss in gravitational potential energy = mgΔh = 0.50 × 9.8 × 3.2 = 15.68 J.
- With no air resistance this all becomes kinetic energy: 12mv2 = 15.68 J.
- v2 = 2 × 15.680.50 = 62.72.
- Answer: v = √62.72 = 7.9 m/s.
In Eₖ = 12mv2 only the speed is squared: square v first, then multiply by m and halve.
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