To answer your question, no,
temperature does not always increase as it is heated. Adding heat does not always increase the temp.
For example, when water is boiling, adding heat does not increase the temperature. This occurs at the boiling temp of every substance that can vaporize.
Hope this explanation was helpful and brief! :)
Answer:
g(h) = g ( 1 - 2(h/R) )
<em>*At first order on h/R*</em>
Explanation:
Hi!
We can derive this expression for distances h small compared to the earth's radius R.
In order to do this, we must expand the newton's law of universal gravitation around r=R
Remember that this law is:

In the present case m1 will be the mass of the earth.
Additionally, if we remember Newton's second law for the mass m2 (with m2 constant):

Therefore, we can see that

With a the acceleration due to the earth's mass.
Now, the taylor series is going to be (at first order in h/R):

a(R) is actually the constant acceleration at sea level
and

Therefore:

Consider that the error in this expresion is quadratic in (h/R), and to consider quadratic correctiosn you must expand the taylor series to the next power:

This is a true fact.
Example: An object sitting still in place has energy called potential energy so if an object moving, kinetic energy, and pushes the other object not moving, then the potential energy object will now have kinetic energy; Change.
So, that IS a true fact.
I hope this helped!
Answer:
#_photon = 7 10²¹ photons
Explanation:
Let's look for the power that affects the panel of area of 1.5 m2
I = P / A
P = I A
P = 1.37 10³ 1.5
P = 2,055 10³ W
P = E / t
If we use t = 1 s
E = P t
E = 2,055 10³ J
This is the power that the panel receives, let's look for the energy of a photon
E = h f
c = λ f
f = c /λ
E = h c /λ
Let's calculate
E₀ = 6.63 10⁻³⁴ 3 10⁸/680 10⁻⁹
E₀ = 2.925 10⁻¹⁹ J
In one second the total energy is the number of photons for the energy of each one
E = #_photon E₀
#_photon = E / E₀
#_photon = 2,055 10³ / 2,925 10⁻¹⁹
#_photon = 7 10²¹ photons