# Animal in an Elevator#

A $$\rm{kg}$$ cat 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 1705 $$\rm{W}$$.

## Part 1#

Suppose that the elevator is accelerating upwards at + 2.51 $$\rm{\frac{m}{s^2}}$$.

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

File upload box will be shown here.

## Part 2#

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

Please enter in a numeric value in $$\rm{N}$$.

## Part 3#

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

Please enter in a numeric value in $$\rm{N}$$.

## Part 4#

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

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

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

File upload box will be shown here.

## 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?

Please enter in a numeric value in $$\rm{m/s}$$.