An elevator filled with passengers has a mass of 1.70 × 103 kg . (a) The elevator accelerates upward from rest at a rate of 1.20 m/s2 for 1.50 s. Calculate the tension in the cable supporting the elevator. (b) The elevator continues upward at constant velocity for 8.50 s. What is the tension in the cable during this time? (c) The elevator decelerates at a rate of 0.600 m/s2 for 3.00 s. What is the tension in the cable during deceleration? (d) How high has the elevator moved above its original starting point, and what is its final velocity?

A box of mass 30.0 kg is acted on by a constant horizontal force, which moves the box from rest 15.0 m in 2.75 s. What is the magnitude of the force acting on the box?  (Ignore any frictional forces.)

You are designing a high-speed elevator for a new skyscraper. The elevator will have a mass limit of 2400 kg (including passangers). For passenger comfort, you choose the maximum ascent speed to be 18.0 m/s, the maximum descent speed to be 10.0 m/s, and the maximum acceleration magnitude to be 3.20 m/s^2. Ignore friction. What is the maximum upward force that the supporting cables exert on the elevator car? What is the minimum upward force that the supporting cables exert on the elevator car? What is the minimum time it will take the elevator to ascend from the lobby to the observation deck, a vertical displacement of 640 m? What is the maximum value of a 60.0 kg passanger's apparent weight during the ascent? What is the minimum value of 60.0 kg passenger's apparent weight during the ascent? What is the minimum time it will take the elevator to descend to the lobby from the observation deck, a vertical displacement of 640 m?

An elevator cab that weighs 28.9 kN moves upward. What is the tension in the cable if the cab's speed is (a) increasing at a rate of 1.34 m/s? and (b) decreasing at a rate of 1.34 m/s2? (a) Number i ! Units N (b) Number i ! Units