An airport baggage handling system uses a motorized conveyor belt to lift luggage from the ground up to the cargo door of an aircraft.
A suitcase of mass 24 kg24\text{ kg}24 kg is placed on the conveyor belt. The conveyor belt lifts it through a vertical height of 3.5 m3.5\text{ m}3.5 m.
State the equation linking gravitational potential energy (GPE\text{GPE}GPE), mass, ggg, and height.
Show that the gravitational potential energy gained by the suitcase is about 800 J800\text{ J}800 J (take g=10 N/kgg = 10\text{ N/kg}g=10 N/kg).
State the work done on the suitcase and give the unit.
The conveyor belt is powered by a 4.0 kW4.0\text{ kW}4.0 kW electric motor.
State the equation linking efficiency, useful power output, and total power input.
The conveyor belt lifts 120120120 suitcases of mass 24 kg24\text{ kg}24 kg each minute. Calculate the efficiency of the conveyor belt.
Another conveyor belt has an efficiency of 35%35\%35%. Its input power is 6.0 kW6.0\text{ kW}6.0 kW. For this conveyor belt:
Calculate the useful power output.
Calculate the wasted power.
