An automated stacker crane in a smart distribution centre lifts a heavy pallet of components onto a high storage rack.
An engineer needs to measure the vertical height of the storage rack to verify the crane's limits. Suggest a suitable measuring instrument they should use.
The height of the storage rack is 6.2 m6.2\text{ m}6.2 m. The total mass of the pallet and the components is 125 kg125\text{ kg}125 kg. gravitational field strength=9.8 N/kg\text{gravitational field strength} = 9.8\text{ N/kg}gravitational field strength=9.8 N/kg
Calculate the increase in gravitational potential energy of the pallet. Use the equation:
gravitational potential energy=mass×gravitational field strength×height \text{gravitational potential energy} = \text{mass} \times \text{gravitational field strength} \times \text{height} gravitational potential energy=mass×gravitational field strength×heightDuring the lift, the electric motor on the crane does 9100 J9100\text{ J}9100 J of work. The time it took to lift the pallet was 6.50 s6.50\text{ s}6.50 s.
Calculate the power of the motor. Use the equation:
power=work donetime \text{power} = \frac{\text{work done}}{\text{time}} power=timework doneOnce at the level of the rack, the pallet is transferred horizontally onto the shelf with a speed of 1.8 m/s1.8\text{ m/s}1.8 m/s.
Calculate the kinetic energy of the pallet. Use the equation:
kinetic energy=0.5×mass×(speed)2 \text{kinetic energy} = 0.5 \times \text{mass} \times (\text{speed})^2 kinetic energy=0.5×mass×(speed)2