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, starting at rest. It accelerates at a constant rate of 0.25 m/s2 up to the 5th floor, then decelerates at the same rate (acceleration of -0.25 m/s2 ) until coming to a stop at the 10th floor. a. At which floor (or, if you prefer, what height from the ground) does the elevator have the maximum total energy? b. Assuming that friction and drag forces are negligible, how much work is done by the tension force (in the cable that pulls the elevator up) in moving the elevator from the ground floor to the top floor? c. Assuming instead that friction and drag forces are constant over the entire ascension, and equal to 250 N, how much work is done by the tension force in moving the elevator from the ground floor to the top 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, starting at rest. It accelerates at a constant rate of 0.25 m/s2 up to the 5th floor, then decelerates at the same rate (acceleration of -0.25 m/s2 ) until coming to a stop at the 10th floor.
a. At which floor (or, if you prefer, what height from the ground) does the elevator have the maximum total energy?
b. Assuming that friction and drag forces are negligible, how much work is done by the tension force (in the cable that pulls the elevator up) in moving the elevator from the ground floor to the top floor?
c. Assuming instead that friction and drag forces are constant over the entire ascension, and equal to 250 N, how much work is done by the tension force in moving the elevator from the ground floor to the top floor?
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