Use definitions of work and power to derive P=Fv for a force along the motion. A winch lifts a load steadily at 0.40 m s⁻¹ with tension 1500 N. Find mechanical output power and explain why zero acceleration does not imply zero winch power.

Question

Accepted Answer

P=W/t=Fs/t=Fv; mechanical output=1500 × 0.40=600 W. Tension does positive work while weight does equal negative work; the load's potential energy rises while its kinetic energy stays constant. State W=Fs with force parallel to displacement. Use P=W/t and s/t=v for steady motion. Calculate 600 W. Distinguish zero net force/constant kinetic energy from the positive work of the winch and rising gravitational energy.

Derive the force-speed power link

Use definitions of work and power to derive P=Fv for a force along the motion. A winch lifts a load steadily at 0.40 m s⁻¹ with tension 1500 N. Find mechanical output power and explain why zero acceleration does not imply zero winch power.

What a complete response should do

Your self-assessment