Relation between Gravitational Field and Potential – Gravitation
We are giving a detailed and clear sheet on all Physics Notes that are very useful to understand the Basic Physics Concepts.
Relation between Gravitational Field and Potential:
If change in gravitation potential at a points is dV, gravitational field intensity is E, then during displacement dr in the field
dV = -E . dr
Where,
\(\mathbf{E}=E_{x} \hat{\mathbf{i}}+E_{y} \hat{\mathbf{j}}+E_{z} \hat{\mathbf{k}}\)
dr = \(d x \hat{\mathbf{i}}+d y \hat{\mathbf{j}}+d z \hat{\mathbf{k}}\)
∴ dV = -Exdx – Eydy – Ezdz
Also we can write \(E_{x}=\frac{-\partial V}{\partial x}, E_{y}=\frac{-\partial V}{\partial y} \text { and } E_{z}=\frac{-\partial V}{\partial z}\)
Gravitation:
Have you ever thought, when we throw a ball above the ground level, why it returns back to the ground. It’s because of gravity. When a ball is thrown above the ground in the opposite direction, a gravitational force acts on it which pulls it downwards and makes it fall. This phenomena is called gravitation.
Learn relation between gravitational field and potential field, Kepler’s law of planetary, weightlessness of objects in absence of gravitation, etc.