A robotic window-cleaning unit climbs the vertical facade of a high-rise office building during a safety inspection.
The building maintenance team needs to verify the vertical height of the target ledge. What measuring instrument should they use?
The height of the target ledge is 12.5 m. The total mass of the robotic unit and its cleaning fluids is 48 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 robotic unit. 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 climb, the internal electric motor of the robotic unit did 6120 J of work. The time it took to climb the vertical distance was 8.50 s.
Calculate the power output of the motor. Use the equation:
power=work donetime \text{power} = \frac{\text{work done}}{\text{time}} power=timework doneOnce at the target ledge, the robotic unit moves horizontally along the ledge with a speed of 1.5 m/s.
Calculate the kinetic energy of the robotic unit. 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