Answer:
v = √2G 
/ R
Explanation:
For this problem we use energy conservation, the energy initiated is potential and kinetic and the final energy is only potential (infinite r)
Eo = K + U = ½ m1 v² - G m1 m2 / r1
Ef = - G m1 m2 / r2
When the body is at a distance R> Re, for the furthest point (r2) let's call it Rinf
Eo = Ef
½ m1v² - G m1 / R = - G m1 / R
v² = 2G (1 / R - 1 / Rinf)
If we do Rinf = infinity 1 / Rinf = 0
v = √2G / R
Ef = = - G m1 m2 / R
The mechanical energy is conserved
Em = -G m1 / R
Em = - G m1 / R
R = int ⇒ Em = 0
<u>Answer:</u>
The modern atomic theory has given by "John Dalton and framed postulates".
<u>Explanation:</u>
The fundamental role of atoms in chemistry is established by the modern theory of atoms mentioned in 1808 for the first time by an English scientist named John Dalton. This consists of three sections such as all matter is composed of atoms, atoms of the same element are the same while atoms of different elements are different, atoms combine to form compounds in full-number ratios.
The unique characteristic of the "number of protons" is that all atoms of the same compound share. While the atoms of the same element i.e having a similar number of protons can have different numbers of neutrons and such elements are called isotopes.
The smaller body will have greater temperature change.
<h3><u>Explanation</u>:</h3>
Temperature is defined as the degree of hotness or coldness of a body. The relationship of the temperature with heat is described as
Q =m c dT.
Where Q is the heat content
m is the mass of body
c is the specific heat of body
dT is the temperature change of body.
Here the bodies are made up of same substance, so specific heat is same. The mass of bigger body is M and smaller body is m.
So the temperature change of the body will be dependent on the mass of the body. Heat loss by one body will be equal to heat gained by the other.
So M dT1 = mdT2.
So, M/m = dT2 / dT1.
So the the smaller body will be suffering higher temperature change.
Acceleration, a = (v - u)/t
where v is the final velocity, u is the initial velocity, and t is the time.
This formula on a velocity time graph represents the slope of the graph.
