A ramping force uses the triangular area under the force-extension graph. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A ramping force makes a triangle

A force ramps up to 8 newtons across 6 metres.

1286\frac{1}{2}\cdot8\cdot6
Mechanical work areaA checked geometric area gives work.forcedistancework

Triangle area gives less work than the rectangle

The ramp work is 24 joules.

1286=24\frac{1}{2}\cdot8\cdot6=24
Mechanical work areaA checked geometric area gives work.forcedistancework