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Problem 1: A 1000.0 kg elevator is controlled with a cable. Friction and air resistance can...

Problem 1: A 1000.0 kg elevator is controlled with a cable. Friction and air resistance can be ignored. In this problem, the elevator is already moving downward at a constant speed of 1.0 m/s. During this initial stage, the elevator moves with this constant speed for 1.5 seconds. Then, in a 2nd stage, the elevator slows down to a stop with constant acceleration. During this 2nd stage, it takes 0.5 seconds of time to come to a stop.

A. Draw a motion diagram that clearly shows both the velocity vectors and the acceleration vectors. Use dashed lined to separate the two stages.

B. Draw a velocity vs. time graph for this situation. Separate the two stages of motion with a dashed line.

C. What is the value of the acceleration during each stage? [Separate answer for each stage]

D. Draw two separate free-body diagrams–one for each stage of the motion. Next to your free body diagram, draw a separate vector that represents that the net force acting on the elevator.

E. Determine the value of the weight force exerted on the elevator by the earth?

F. Determine the value of the tension force in each stage? [Hint: You may find it useful to first calculate the value of the net force for each stage].

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