The Golden Great Bridge, built on planet Tehar in a galaxy far, is made of a lon

Question

The Golden Great Bridge, built on planet Tehar in a galaxy far, is made of a long slab of pure gold with the opposite ends resting on the shores of the river. In the spring, when the air temperature is 100 C , the length of the bridge is 197 m . Given that the value of the coefficient of linear expansion, , for gold is 1.42×105 C1 .

Compared to its length in the spring, by what amount Lwinter does the length of the bridge decrease during the Teharian winter when the temperature hovers around -150 C?

**** Please just write me a concise equation(s) to solve this

Explanation / Answer

Coefficient of thermal expansion of metals
L = L * * T
L = 197 * 1.42 * 10^-5 * T = 297.14 * 10^-5 * T
Use this equation to determine the change of length as the temperature changes.

T = 100 – -150 = 250
L = 297.14* 10^-5 * 250 = 0.700 m
This is the decrease of length.
New length in spring = 197 – 0.700 = 196.3 m

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