3.4.1.7
In free fall without air resistance, GPE converts entirely to KE
Work, Energy & Power — AQA A-Level Physics
- By conservation of energyThe capacity to do work. Measured in joules (J).Energy cannot be created or destroyed, only transferred from one form to another. The total energyThe capacity to do work. Measured in joules (J). of a closed system remains constant.: loss in $GPE = gain$ in KE (no friction or air resistanceThe opposition to currentThe rate of flow of chargeA property of matter that causes it to experience a force in an electromagnetic field. Measured in coulombs (C).. Measured in amperes (A). flow. The ratio of potential difference to currentThe rate of flow of chargeA property of matter that causes it to experience a force in an electromagnetic field. Measured in coulombs (C).. Measured in amperes (A).. Measured in ohms (Ω).).
- mg Δh = 0.5mv^2. The mass cancels: $v = \sqrt{2g \Delta h}$.
- With friction or air resistanceThe opposition to currentThe rate of flow of chargeA property of matter that causes it to experience a force in an electromagnetic field. Measured in coulombs (C).. Measured in amperes (A). flow. The ratio of potential difference to current. Measured in ohms (Ω).: loss in $KE = gain$ in GPE + work doneEnergy transferred when a force moves an object. In electrical circuits, W = QV (charge times potential difference). against friction.
- On a rollercoaster: GPE converts to KE going downhill, KE converts to GPE going uphill.
- The speed at the bottom depends only on the height dropped (not the path), provided there is no friction.
$$mg \Delta h = \frac{1}{2}mv^2$$
- $m$: mass (kg)
- $g$: gravitational field strengthThe gravitational force per unit mass at a point in a gravitational fieldA region of space in which a mass experiences a gravitational force.. Measured in N kg⁻¹. (m s⁻²)
- $Δh$: height dropped (m)
- $v$: speed at bottom (m s⁻¹)
Examiner Tips and Tricks
- In many energyThe capacity to do work. Measured in joules (J). problems, mass cancels.
- If the question asks for speed after falling through a height, you do not need the mass.