Gravitational Potential Energy

Gravitational Potential Energy

### Formula

$$U=-\frac{GMm}{r}$$

### Terminologies

- U → Gravitational potential energy.

- G → Universal gravitational constant.

- M, m → Masses of interacting bodies.

- r → Distance between their centres.

### Dimensions

$$[U]=[ML^2T^{-2}]$$

### Conditions / Special Cases

Near Earth's surface:

$$U=mgh$$

At infinity:

$$U=0$$

### Usage

- Used in gravitational field and satellite problems.