# AP Physics B: Circular Motion, Universal Law of Gravitation, and Energy - Symbols and Formulas

## 27 terms

### acp = v²/r

centripetal acceleration

### Fcp = macp = mv₂/r

centripetal force

### v = √rg

minimum/maximum speed in a vertical loop

### F = G (m₁m₂/r²)

Newton's Law of Gravitation

### G

Universal Gravitational Constant ( = 6.67 x 10^-11 Nm²/kg²)

orbital speed

### T =(2m/√GM)r^3/2

Period of a planet's orbit (T)

### g = GM/r^2

Acceleration due to gravity on another planet

Work

Joules

Formula of Work

### Wtot = ΔK = ½mv₂² - ½mv₁²

Work Energy Theorem

Kinetic Energy

### K = ½mv²

Formula of Kinetic Energy

### Ug

Gravitational Potential Energy

### Us

Potential Spring Energy

### Ug = mgh

Formula of Gravitational Potential Energy

height

### Us = ½kx²

Formula of Potential Spring Energy

Spring Constant

Hooke's Law

### Fs

Force due to a Spring

### x (spring)

how far a spring is compressed/expanded

### Ug₁ + Us₁ + K₁ + WNC₁ = Ug₂ + Us₂ + WNC₂

Conservation of Energy Theorem

### WNC

Work done by a nonconservative force

Power

Formula of Power