— work is done only when a force moves its point of application in the direction of the force.
Work is maximum when the force and displacement are in the same direction (); zero when they are perpendicular ().
Example 1 — work done
A force of N moves an object m. Find the work done.
- .
Answer: J
Remember
Holding a heavy object stationary does zero work in the physics sense — there's no displacement, however tired your arms get.
Kinetic energy: — energy due to motion.
Potential energy: — energy due to position (height above a reference level).
Example 2 — kinetic energy
Find the kinetic energy of a kg body moving at m/s.
- .
Answer: J
Remember
Renewable energy resources (solar, wind, hydro) replenish naturally; non-renewable ones (coal, oil, gas) don't, on any human timescale.
— power is the rate of doing work, SI unit watt (W) J/s.
Example 3 — power
A machine does J of work in s. Find its power.
- .
Answer: W
Efficiency — always less than , since some energy is always lost (usually as heat).
Quick Recap
- ●; maximum when force and displacement align, zero when perpendicular
- ●;
- ●, unit watt
- ●Efficiency , always under





