Flipping Physics Notes

Net work = change in kinetic energy (aka friction alot of the time)

Power = work / time = change in energy / time

All collisions linear momentum is conserved

Impulse - average force * time, area under force time curve

if there is no force, then there is no impulse, which means momentum is conserved

Kinetic energy is conserved in elastic collisions

Inelastic collisions kinetic energy decreases

1 revolution = 360 degrees or 2 pi rad

arc length = theta r

Torque = radius * force

Parallel Axis Therorem I = I_cm + MD²

torque = intertia * alpha

Translational kinetic energy = ½ m v ²

Rotational Kinetic Energy = ½ I omega²

Total kinetic energy = ½ mv² + ½ I omega²

Work = torque * theta

L (angular momentum) = inertia * omega

acceleration without slipping - only depends on theta, g, and the coefficient in front of inertia

at amplitude velocity is 0, acceleration is at max spring force is at max

equilibrium velocity is at max

period of a spring = 2 pi root (m / k)

restoring force of a spring is the spring force acting on the mass

period of a pendulum = 2 pi root (l / g)

restoring force of pendulum is component of weight

x = A cos (2 pi f t) or amplitude cos (2 pi frequency * time)

cosine = initial position is amplitude

sine = initial position is equilibrium

position time and acceleration time cos graphs are opposite of eachother

torricellis theorum v = root (2gh)

derived from “energy aaproach” (rho g h = ½ rho v²)

horizontal mass sptring system

½ k A² = ½ m vmax²

kA² = m vmax²

vmax = root (kA²/m) = A root (k/m)

Orbiting satellites

circular orbit - Mechanical energy and potential energy of the system is constant , kinetic energy and momentum of satellite is constant

elliptical orbit - mechanical energy is constant, potential energy is not of the system; satellites momentum is constant but the kinetic energy is not

both orbits have constant angular velocity but not constant tangential velocity

restoring force always points towards equilibrium