How to Calculate Work Energy
What is Work Energy?
The work-energy theorem states that the net work done on an object equals its change in kinetic energy. This fundamental principle connects forces to motion and energy transfer.
Formula
The calculator finds work using W = F × d × cos(θ)
- W
- F × d × cos(θ) — F × d × cos(θ)
- F
- F value — Variable used in the calculation
Step-by-Step Guide
- 1Input the force magnitude, displacement distance, and angle between them
- 2The calculator finds work using W = F × d × cos(θ)
- 3Results show work done and the resulting kinetic energy change
Worked Examples
Input
F = 50 N, d = 10 m, θ = 0°
Result
W = 500 J, ΔKE = 500 J
Force perfectly aligned with motion
Common Mistakes to Avoid
- ✕Forgetting to apply the cosine factor for non-aligned forces
- ✕Confusing work with power (work is energy transfer, power is rate)
Frequently Asked Questions
Can work be negative?
Yes, when force opposes motion (angle > 90°), work is negative, removing energy from the system.
What if force is perpendicular to motion?
No work is done because cos(90°) = 0; perpendicular forces change direction but not kinetic energy.
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