You are to determine the power rating of the motor in an elevator system. The elevator (with a full load) weighs 2000 kg and is required to move upward 2 m/sec at constant speed. The lifting mechanism is 80% efficient (i.e., 20% of the power generated by the motor is wasted in the mechanism, e.g., for overcoming friction). What is the minimum output power ratingin HP of the motor that meets the requirement?