Work, energy and power · Inclined planes

Power up an inclined plane

Follow one load from the bottom to a fixed-height platform and watch the motor’s work enter the gravitational and thermal energy stores.

Model conditionThe motor maintains a constant speed, so the resultant force along the ramp is zero.

Run 1 · constant speed

The motor transfers energy at a steady rate

Mechanical power required—— J transferred each second
Load stateMoving

Latest run eventRun 1 started

Watch: motor work accumulates continuously while the load’s speed remains constant.

Live energy ledger

Every joule supplied by the motor is accounted for

Mechanical output only · start and stop transients are outside this constant-speed model.

Motor work0 J
=
GPE gained0 J
+
Thermal energy0 J
Force balanceFₘ = mg sinθ

196 N = 196 N

Power from forceP = Fv

196 N × 1.0 m s⁻¹ = 196 W

Power splitPₘ = Pg + Pthermal

196 W = 196 W + 0 W

1
Constant speed means balanced forces

The motor continually matches the total force acting down the ramp.

2
Power is a transfer rate

At constant values, the same number of joules is transferred during every second.

3
Energy is conserved

Motor work becomes gravitational potential energy and, when present, thermal energy.

What this model includes and excludes

The load is already moving at the selected constant speed when each measured run begins. The motor’s mechanical output exactly balances the downslope component of weight and kinetic friction. Air resistance, rolling resistance, motor inefficiency, cable mass and the energy changes during starting and stopping are not included.