LuduminaEN-04 · EN-U2 · Planned
Gravitational potential energy
Learning objectives
Calculate changes in GPE; predict proportional effects of mass and vertical height.
8463 §§4.1.1.2 / 8464 §§6.1.1.2
DfE single-science pp.34–35 / Combined pp.29–30. Evidence checked 30 September–1 October 2026. Skills: WS4.3–4.6; MS1c,3b,3c,4c.
Needs firstEN-03; P0 mass/units
Explanation
GPE change depends on vertical height change and the local gravitational field. Two paths to the same height give the same gravitational energy change, although friction may require additional input work on the longer path.
Concepts, equations and units: ΔE_p = mgΔh; E in J, m in kg, g in N/kg, vertical h in m; g supplied.
Prediction, demonstration and game exercise
Predict, observe, explain
Lift equal and unequal masses on two routes ending at the same height; compare the energy changes.
Planned learner game exercise
Set load mass and lift height to deliver a target GPE gain; choose a reference level.
Independent practice
Solve three conversions/rearrangements; graph E_p against h at fixed m and g.
Original practice example · Shared
A 2 kg load rises 3 m. Use g = 10 N/kg. Find its GPE gain.
Show working and model answer
Working / reasoning
ΔE_p = mgΔh = 2 × 10 × 3.
Answer
60 J.
Exit check and success criteria
At least two of three calculations correct with units and use vertical height.
During practice, compare the prediction with evidence and give an error-specific prompt. The exit item uses a fresh context or fresh values, answered independently.
Misconceptions, practical links and mastery
Check these misconceptions
GPE belongs only to the object; ramp length replaces vertical height; g is mass.
Practical preparation
Optional ramp/lifting energy investigation, AT1.
Virtual preparation and revision only. Required hands-on activities and school records remain separate.
Proposed mastery
0: not yet evidenced. 1: supported. 2: independent exit criteria met. 3: successful changed-context transfer. Advance at 2; revisit with fresh retrieval. These are not GCSE grades.