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# phyx eqns mechanics

Kinematic for final velocity vf = at + vi
Kinematic for final velocity squared vf ^ 2 = vi ^2 + 2ax
Kinematic for displacement x= vi t + 1/2 at^2
Displacement with constant acceleration Δx = ½ (vf + vi) Δt
Newton's Law of Gravity F= (G m1 m2)/ r^2
Coulomb's Law F = (k q1 q2)/ r^2
Apparent Weight F = mg +ma
Static Friction F= us FN
Kinetic Friction F = uk FN
velocity in rotational motion v = 2πr / t
Centripetal Acceleration ac= v^2/r
Centripetal Force Fc= mv^2/ r or Fc = mac
Work W = Fx
Kinetic Energy KE = 1/2 mv^2
Gravitational Potential Energy PE= mgh
Elastic Potential Energy PEe= 1/2 kx^2
Impulse I = Ft
Momentum p = mv
Position of the Center of Mass x = m1x1 + m2x2 / (m1 + m2)
Velocity of the Center of Mass v = m1v1 + m2v2 / (m1 + m2)
Position of the Center of Gravity x = W1x1 + W2x2 / (W1 + W2)
Torque T= F l
Angular Momentum L = I w
Moment of Inertia I = mr^2
Angular velocity w = θ /t ( in radians θ = l/r ) l= arc length
Rotational Kinetic Energy KEr = 1/2 I w^2 or 1/2 mr^2 w^2
Angular Acceleration α = w/ t
Hooke's Law F= -kx
Rotational Velocity w = 2πf
Period of a Pendulum T = 2π √ (L/g)
Period of a Spring T = 2π √ (m/k)
Power (two) P = W/t or P = Fv
Period T = 2π / w
Maximum velocity of a of a rotating object v = Aw or use KE at equilibrium
Created by: cstephens125

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