This revision guide focuses on the core concepts of the South African CAPS curriculum
for Grade 12 Physics (Physical Sciences Paper 1) for Term 2.
1. Work, Energy, and Power
• Work (𝑊): Work is done on an object when a force is applied to it and the object
moves in the direction of the force.
𝑊 = 𝐹Δ𝑥cos𝜃
where 𝜃 is the angle between the force 𝐹 and the displacement Δ𝑥.
o If 𝜃 = 0∘ , 𝑊 is positive (energy is added).
o If 𝜃 = 180∘ , 𝑊 is negative (energy is removed, e.g., friction).
o If 𝜃 = 90∘ , 𝑊 = 0 J.
• Work-Energy Theorem: The net work done on an object is equal to the change
in the object’s kinetic energy.
1 1
𝑊net = Δ𝐾 = 𝑚𝑣𝑓2 − 𝑚𝑣𝑖2
2 2
• Conservative and Non-conservative Forces:
o Conservative Force: A force for which the work done is independent of
the path taken (e.g., Gravity).
o Non-conservative Force: A force for which the work done depends on the
path taken (e.g., Friction, Air resistance, Tension).
• Conservation of Energy: In the presence of non-conservative forces, we use:
𝑊𝑛𝑐 = Δ𝐾 + Δ𝑈
where Δ𝑈 = 𝑚𝑔(ℎ𝑓 − ℎ𝑖 ) is the change in gravitational potential energy.
• Power (𝑃): The rate at which work is done or energy is expended.
𝑊
𝑃= or 𝑃avg = 𝐹𝑣avg
Δ𝑡
Units: Watts (W).