The elevator car, including passengers, has a mass of 1800 kg. Each floor of the building is separated by 4 m (i.e., the ground floor is at 0 m, the 1st floor is at 4 m, the 2nd floor is at 8 m, etc.) and the top floor is the 10th floor. The elevator goes up from the ground floor, accelerates at a constant rate until it reaches the 1st floor at a speed of 1 m/s. It then maintains a constant speed, before decelerating (again at a constant rate) back to rest from the 9th to the 10th floor. a. Assuming that friction and drag forces are negligible, what is the maximum power output required for the elevator motor? b. How much work is done by the tension force (in the cable that pulls the elevator car up) from the ground floor to the 1st floor? From the 1st floor to the 9th floor? From the 9th floor to the 10th floor? c. How much work is done by the gravitational force from the ground floor to the 1st floor? From the 1st floor to the 9th floor? From the 9th floor to the 10th floor?
The elevator car, including passengers, has a mass of 1800 kg. Each floor of the building is separated by 4 m (i.e., the ground floor is at 0 m, the 1st floor is at 4 m, the 2nd floor is at 8 m, etc.) and the top floor is the 10th floor.
The elevator goes up from the ground floor, accelerates at a constant rate until it reaches the 1st floor at a speed of 1 m/s. It then maintains a constant speed, before decelerating (again at a constant rate) back to rest from the 9th to the 10th floor.
a. Assuming that friction and drag forces are negligible, what is the maximum power output required for the elevator motor?
b. How much work is done by the tension force (in the cable that pulls the elevator car up) from the ground floor to the 1st floor? From the 1st floor to the 9th floor? From the 9th floor to the 10th floor?
c. How much work is done by the gravitational force from the ground floor to the 1st floor? From the 1st floor to the 9th floor? From the 9th floor to the 10th floor?
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