Answer:

Explanation:
As we know by work energy theorem that work done by all forces is equal to change in kinetic energy
So we know that
![W_f + W_g = \frac{1]{2}mv_f^2 - \frac{1}{2}mv_i^2](https://tex.z-dn.net/?f=W_f%20%2B%20W_g%20%3D%20%5Cfrac%7B1%5D%7B2%7Dmv_f%5E2%20-%20%5Cfrac%7B1%7D%7B2%7Dmv_i%5E2)
so we know that




now we have



<u>Answer</u>
Part 1) Increase
Part 2) expand
Part 3) rise
<u>Explanation</u>
When the air is heated the molecules gain kinetic energy and starts to collide with walls of the ballon making it to increase it size.
Thus the volume of the balloon expands. When this happens the balloon and its content becomes less dense and it rises.
Yeah, like a stop sign. We know it is most likely a stop sign since it has 8 sides or is an octagon.
I hope I helped!
Answer: 0.0138 m^2 = 138 cm^2
Explanation:
The thermal expansion is the term use for the physical phenomena of dilation of the objects when they are exposed to changes in temperature.
The objects dilate when they are heated and contract when they are cooled.
The dilation is proportional to the change in temperatur.
For linear dilation, the proportionality constant is called linear dilation coefficient of the materials, it is named α and is measured in °C ^-1.
ΔL = α * Lo * ΔT, which means that the dilation (or contraction) is proportional to the product of the original length (Lo) and the change of temperature (ΔT).
There is also superficial dilation, for which the dilation is:
ΔA = β * Ao * ΔT, which means that the superficial dilation (or contraction) is proportional to the product of the original area (Ao) and the change of temperature (ΔT).
It is very interesting and important to solve problems that β = 2α, because regularly you will find the values of α for different materials and so, you just to multiply it times 2 to use β.
For this problem:
- Original area, Ao = area of the flat roof at - 10°C = 2.0m * 3.0m = 6.0 m^2.
- α for aluminum = 24 * 10^ -6 °C^-1.
- ΔT = 38°C - (-10°C) = 48°C
So, ΔA = 6.0m^2 * (2 * 24*10^-6 °C&-1) * 48°C = 0.0138 m^2
And that is the area that should stick out in summer to fit the structure during cold winter nights.
You can pass that number to cm^2 to grasp better the idea of this size:
0.0138 m^2 * (100 cm)^2 / m^2 = 138 cm^2