Answer:
Fourier's laws
Explanation:
The problem can be solved if Fourier's laws for conductivity are applied as well,
(1)
where
A = heat transfer area (m2, ft2)
k = thermal conductivity of the material (W/m.K or W/m oC, Btu/(hr oF ft2/ft))
ΔT = temperature difference across the material (K or oC, oF)
s = material thickness (m, ft)
The thermal conductivity of concrete is k= 1.7


Since
1 dollar = 5 Kilowatt hours or 5000 watthours so
Time for 1 dollar = 5000/1256.64 = 3.978 hours or 3 hours 58 minutes
The concept needed to solve this problem is average power dissipated by a wave on a string. This expression ca be defined as

Here,
= Linear mass density of the string
Angular frequency of the wave on the string
A = Amplitude of the wave
v = Speed of the wave
At the same time each of this terms have its own definition, i.e,
Here T is the Period
For the linear mass density we have that

And the angular frequency can be written as

Replacing this terms and the first equation we have that



PART A ) Replacing our values here we have that


PART B) The new amplitude A' that is half ot the wavelength of the wave is


Replacing at the equation of power we have that


The speed of light: 299,782,458 m / s
The speed of sound: 340.29 m / s
Light is faster
Their atomic numbers are all the same, because they all have the same number of protons. But their atomic weights are different, because they have different numbers of neutrons.