# #

A $$\rm{kg}$$ sits inside of a $$\rm{kg}$$ elevator. The elevator is connected to a motor by a wire. The maximum power that can be produced by the motor is $$\rm{W}$$.

## Part 1#

Suppose that the elevator is accelerating upwards at $$\rm{\frac{m}{s^2}}$$.

Treating the and elevator as separate systems, draw a free-body diagram for the and another for the elevator. Upload your diagrams as a single PDF.

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## Part 2#

Consider the acceleration in Part 1. What is the normal force from the floor on the ?

Please enter in a numeric value in .

## Part 3#

Consider the acceleration in Part 1. What is the tension in the wire?

Please enter in a numeric value in .

## Part 4#

Assume that the elevator is going upwards at a constant speed.

Now consider the system composed of the elevator and the together.

Draw the free-body diagram for this system. Upload your diagram as a single PDF.

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## Part 5#

If the elevator is going upwards at a constant speed, with what speed is the elevator moving if the motor is delivering the maximum possible power? 