A force of $1000\,\text{N}$ is required to raise the hook of a crane at constant speed. The crane is then used to lift a load of mass $1000\,\text{kg}$ at a speed of $0.50\,\text{m s}^{-1}$. What amount of the power developed by the motor of the crane is used in lifting the hook and the load? Assume the acceleration of free fall $g$ is equal to $10\,\text{m s}^{-2}$.
- A$5.0\,\text{kW}$
- B$5.5\,\text{kW}$
- C$20\,\text{kW}$
- D$22\,\text{kW}$