Work & Energy

Year 9 🚀 Forces & Motion  Calculate work done: W = Fd; link to kinetic and potential energy.

💪 Work Done

Work is done when a force moves an object. Work is measured in Joules (J).

Work Done
$$W = Fd$$

$W$ = work done (J)  ·  $F$ = force (N)  ·  $d$ = distance in direction of force (m)

⚠️ If the force is perpendicular to motion, no work is done (e.g. carrying a bag horizontally).

⚡ Kinetic & Potential Energy

Moving objects have kinetic energy. Objects at a height have gravitational potential energy.

KE and GPE
$$KE = \frac{1}{2}mv^2 \qquad GPE = mgh$$
Falling object: As it falls, GPE converts to KE. At the bottom: ½mv² = mgh (ignoring air resistance)

♻️ Conservation of Energy

Energy is never created or destroyed — it is only transferred between stores.

Pendulum: At the top → all GPE. At the bottom → all KE. In between → mixture of both.
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⚗️ ⚡ Work & Energy Calculator

Work Done

KE & GPE