Answer:
0.0149 m
Explanation:
When a solid material is heated, it expands; in particular, its length increases according to the equation:
[tex]\Delta L=\alpha L \Delta T[/tex]
where
[tex]\Delta L[/tex] is the increase in length
[tex]\alpha[/tex] is the linear expansion coefficient
[tex]L[/tex] is the original length of the material
[tex]\Delta T[/tex] is the increase in temperature
In this problem:
[tex]L=33 m[/tex] is the original length of the steel railroad track
[tex]\alpha=11\cdot 10^{-6} ^{\circ}C^{-1}[/tex] is the linear expansion coefficient of steel
[tex]\Delta T=39-(-2)=41^{\circ}C[/tex] is the change in temperature of the track
Therefore, the increase in length is:
[tex]\Delta L=(11\cdot 10^{-6})(33)(41)=0.0149 m[/tex]
