pendulum clock with a brass suspension system is calibrated so that its period is 1 s at 15◦C. If the temperature increases to 41 ◦C, by how much does the period change? Answer in units of s. How much time does the clock gain or lose in one wee

A wire lengthens 4% due to thermal expansion when heated from T. to T. If the wire were bent into the shape of a square, what percent increase in length would you expect along one edge of the square? If the wire were bent into the shape of a circle, what percent increase in diameter would you expect? Explain, using sentences and diagrams.

Collectible coins are sometimes plated with gold to enhance their beauty and value. Consider a commemorative quarter-dollar advertised for sale at $4.98. It has a diameter of 24.3 mm, a thickness of 1.78 mm, and is completely covered with a layer of pure gold 0.214 µm thick. The volume of the plating is equal to the thickness of the layer multiplied by the area to which it is applied. The patterns on the faces of the coin and the grooves on its edge have a negligible effect on its area. Assume the price of gold is $14.1 per gram. (a) Find the cost of the gold added to the coin. (b) Does the cost of the gold significantly enhance the value of the coin? Yes or No     Explain your answer.

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