Circular Motion Equations Worksheet
Practice uniform circular motion with 10 problems covering centripetal acceleration, centripetal force, angular velocity, and period. Full solutions included.
View worksheet →Work, Energy and Power Equations Worksheet
Practice the core energy equations with 10 problems covering kinetic energy, gravitational potential energy, work done, and power. Full solutions included.
Equations you will need
| W = Fs cos θ | Work done = force × distance × cos(angle) |
| KE = ½mv² | Kinetic energy |
| PE = mgh | Gravitational potential energy |
| P = W/t | Power = work done / time |
| P = Fv | Power = force × velocity |
| Efficiency = (useful output / total input) × 100% | Efficiency |
Symbol key
| Symbol | Quantity | Unit |
|---|---|---|
| W | work / energy | J (joules) |
| F | force | N |
| s | distance | m |
| m | mass | kg |
| v | velocity | m/s |
| h | height | m |
| P | power | W (watts) |
| t | time | s |
Practice problems
Attempt each problem on paper first, then click Show answer to check your working.
-
A 50 N force pushes a box 8 m horizontally. Find the work done.
Show answer
W = Fs = 50 × 8 = 400 J -
Find the kinetic energy of a 2 kg ball moving at 10 m/s.
Show answer
KE = ½mv² = ½(2)(100) = 100 J -
A 5 kg book is lifted 1.5 m. Find the gain in PE. (g = 9.8 m/s²)
Show answer
PE = mgh = 5(9.8)(1.5) = 73.5 J -
A motor does 6000 J of work in 30 s. Find the power.
Show answer
P = W/t = 6000/30 = 200 W -
A 1500 kg car accelerates from rest to 20 m/s. Find the work done by the engine.
Show answer
W = ΔKE = ½(1500)(400) = 300,000 J -
A pump lifts 50 kg of water 10 m in 20 s. Find the power. (g = 9.8 m/s²)
Show answer
W = mgh = 4900 J; P = 4900/20 = 245 W -
A force of 100 N pulls a sled 20 m at 30° to the horizontal. Find the work done.
Show answer
W = Fs cos θ = 100(20)(cos 30°) = 1732 J -
A 0.5 kg ball is dropped from 20 m. Find its speed just before hitting the ground (no air resistance).
Show answer
PE → KE: mgh = ½mv² → v = √(2gh) = √(392) = 19.8 m/s -
An engine outputs 800 W useful power but consumes 1000 W. Find its efficiency.
Show answer
Efficiency = 800/1000 × 100% = 80% -
A 70 kg runner climbs stairs of total height 5 m in 4 s. Find the power developed. (g = 9.8 m/s²)
Show answer
W = mgh = 70(9.8)(5) = 3430 J; P = 3430/4 = 857.5 W
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View worksheet →About this worksheet
This work, energy and power equations worksheet covers the essential equations for mechanics at the GCSE / A-Level / AP Physics 1 level. Every problem has been written to mirror the style and difficulty of real exam questions, with full algebraic working shown in the solutions.
If you find these problems too straightforward, try the more advanced worksheets in the same topic listed above. If they feel too difficult, start by reviewing the equation definitions in the box at the top of this page and then return to question 1.