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redwing1

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## Homework Statement

Hello,

I am having some trouble with the two questions below:

1) The University of Maryland's mascot is a terrapin (a snapping turtle). It is represented on campus by a bronze statue in front of the library named Testudo. Unfortunately, students rub his nose for luck on tests, and he is beginning to wear out. A sculptor decides to propose a replacement. She builds a small scale model and discovers she needs 200g of bronze. When she is finished, she finds that she can give it two coats of finishing polyurethane varnish using exactly one small can of varnish. Her final statue will be 6 times as big as her model in all dimensions. How much bronze and how much varnish will she need for the final product (if the varnish must also cover two coats on the full scale model)?

2) A contemporary computer chip dissipates 54 watts of power on a area of 1 square centimeter due to the transistors in that area. Assuming that transistors in the next computer generations require constant power independent of their size, estimate the power that a 1 square centimeter chip will use 3 years from now. Assume “Moore's Law" which claims that the transistor count (number of transistors per unit area) doubles every 18 months.

## Homework Equations

Volume, Surface Area, Moore's Law

## The Attempt at a Solution

Here are my thought processes on the two:

1) If the full scale model is 6 times as big in all dimensions, then that means that the amount of bronze needed should be: 6*6*6*200 = 43200g. I am not sure at all about the varnish part.

2) I'm guessing that the power dissipated will go up by a factor of 4 whenever the transitor count doubles (I don't exactly know why, but I thought I have heard that somewhere before), so that would mean that the power dissipation in 3 years would be: 54*4*4 = 864 watts.

Any help would be greatly appreciated! Thanks!

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