between F and U; between g and φ
To understand how g is related to φ:
- Similarly, compare and in
the above table.
- If we differentiate
with respect to r, we will get ,
which has the same expression as g.
- Hence, mathematically
- To understand the meaning of observe
the two graphs carefully, on the right side where r is positive,
the gradient of φ vs r graph is positive but the value of g will
be negative. And on the left side where r is negative, the
gradient of φ vs r graph is negative but the value of g is
can be concluded that by multiplying both sides by test mass m.
||N kg-1 or m s-2
||Force per unit mass
||Potential energy per unit mass
the centre of the source mass
|relationship to mass
||Potential energy, =
|computer model if M = 500.
|relationship between g and φ
|relationship between F and U