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Work / Energy / Power Solver

Multi-mode mechanics solver for kinetic energy (½mv²), potential energy (mgh), work (F·d·cosθ), and power (W/t). Pick the relationship, leave one variable blank, fill the rest.

Relationship

Solve for

Energy / Work (J)

Mass (kg)

Velocity (m/s)

Height (m)

Gravity (m/s², default 9.80665 = Earth)

Force (N)

Distance (m)

Angle θ between F and d (°, default 0)

Power (W)

Time (s)

Limitations: Classical mechanics — no relativistic correction. Work formula assumes constant force along straight-line displacement. For variable forces, integrate F(x) over the path (use the Numerical Integration tool when available).

What to do next: Pick the relationship first, then the unknown. Inputs unrelated to the chosen mode are ignored — fill only the ones the formula above shows. Energy outputs are in joules; multiply by 0.000278 to convert to Wh.