The coefficient of linear expansion for some common materials are listed in the table to the right. you would like to design an emergency overheating alarm using one of these materials. in your design, at room temperature (23.0°c), a 7.01 cm long cylinder of the material will sit with one end against a wall and the other just barely touching a button. once the heat causes the cylinder to lengthen by 0.0268 cm, the button will be activated, turning on the alarm.

a) at what temperature will the alarm be triggered if the cylinder is made out of polycarbonate? degrees c

b) at what temperature will the alarm be triggered if the cylinder is made out of cast iron? degrees

A)     = 77.6  ⁰C ,  B) = 341.6 C

Explanation:

The thermal expansion is given by

           ΔL = α L₀ ΔT

The thermal expansion coefficient for polycarbonate varies between 65 and 70 10⁻⁶ ⁰C⁻¹ and for cast iron 12 10⁻⁶ C⁻¹

Let's look for the final temperature that says same shift change

          ΔT = ΔL / α L₀

          - T₀ = ΔL /α L₀

          = T₀ + ΔL / α L₀

Let's calculate for each material

A) Polycarbonate use as thermal expansion coefficient 70 10⁻⁶ C⁻¹

          = 23.0 + 0.0268 / (70 10⁻⁶ 7.01)

          = 23.0 + 54.6

        = 77.6  ⁰C

B) cast iron with thermal expansion coefficient 12 10⁻⁶ C⁻¹

      = 23.0 + 0.0268 / (12 10⁻⁶ 7.01)

      = 23.0 + 3.1859 10²

      = 341.6 C

i dont think you are wrong for wanting to get even with someone who did you wrong.

(i'm an eye for an eye kind of person) but if this person hurt you in a sexual way, i dont suggest doing anything to him. he should be taken to the proper authorities, you could go to jail depending on what you do. if it was something small like your sibling took your spot on the couch, than yea, i would get even with him by taking one of his favorite snacks lol. but i dont suggest you doing anything illegal.

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)