An electric elevator with a motor at the top has a cable weighing 4.5 pounds per foot. When the car is at the first floor, 180 feet of cable are out, and effectively 0 feet are out when the car is at the top floor. The elevator car itself weighs 2000 pounds when empty c) What is the total work required to lift both the car and the elevator from the first floor to the top floor? (d) Power is work performed over time. In US units, horsepower is a unit of power. In fact, a 1 horsepower motor does 550 foot pounds of work every second. If it takes 1 minute to complete the trip from the first floor to the top floor, how many horsepower is the motor? Use your result from part (c) and show your reasoning.

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