Question

what is gravitational potential?

Answer 1

Consider two particles A and B separated
by a distance dr in the gravitational field
The work done in moving unit mass from A to B is dv=WA (arrow) WB

Gravitational potential difference dv = -E dr
negative sign indicates work done in negative direction

This is given in my book
Can anyone explain ?

Answer 2

The potential V at a distance x from a point mass of mass M can be defined as the work done by the gravitational field bringing a unit mass in from infinity to that point
so
from here u can write
\[v(x)=w/m=\frac{ 1 }{ m }\int\limits_{-\infty}^{x}Fdx=\frac{ 1 }{ m} \int\limits_{-\infty}^{x} GmM/x^2=-GM/x\]
this is known as gravitational potential

Answer 3

http://hyperphysics.phy-astr.gsu.edu/hbase/gpot.html
see this
and
\[E = - dV/dr\]
this is mainly known as electric potential

Answer 4

what is actually integration?

Answer 5

in general terms integration means summation typically reverse process of differentiation

Answer 6

I have no idea of differentiation and integration?
What does integral calculus do actually in generally ?

Answer 7

well then it will be difficult for u to understand those notations

independently, Newton and Leibniz established simple rules for finding the formula for the slope of the tangent to a curve at any point on it, given only a formula for the curve. The rate of change of a function f (denoted by f′) is known as its derivative. Finding the formula of the derivative function is called differentiation,so its just dividing a function in infinite small intervals
and integration is just the opposite process of diffrentiation,which stands for sum

Answer 8

\[dv=W _{A \rightarrow B} = -Edr\] hoew -Edr came

Answer 9

is work done equal to change in potential difference
What is the formula of work done

Answer 10

Suppose R and S are two points at a distance r and r+dr from point O where dr is vanishingly small distance and V is electric potential at point R.