Physics Equations

Average Velocity x  x0 v t  t0 Instantaneous Velocity x v  lim t 0 t Kinetic Frictional Force f k  k FN Average Power W P t PFv _ Uniform Circular Velocity 2 r v T Centripetal Acceleration v2 ac  r Centripetal Force mv 2 Fc  r Velocity in Circular Orbits GM E v r Impulse Impulse  F t Linear Momentum p  mv Impulse-Momentum Theorem F t  mv f  mv0 Center of Mass m x  m2 x2 xcm  1 1 m1  m2 Velocity of Center of Mass m v  m2 v2 vcm  1 1 m1  m2 Average Acceleration v  v0 v a  t  t0 t Instantaneous Acceleration v v  lim t 0 t Kinematics/Straight Line Equations (Constant Acceleration) v  v0  at x  1 (v0  v)t 2 x  v0t  1 at 2 2 2 2 v  v0  2ax Work (Done by a Constant Force) W  ( F cos  ) s Kinetic Energy 1 KE  mv 2 2 Work-Energy Theorem 1 1 2 W  KE f  KE0  mv 2  mv0 f 2 2 Average Angular Velocity    0    t  t0 t Average Angular Acceleration   0    t  t0 t Newton’s Second Law of Motion F a m  F  ma Newton’s Law of Universal Gravitation mm F  G 12 2 r G  6.67259 1011 N  m 2 / kg 2 Apparent Weight FN  mg  ma Work Done by Gravity Tangential Velocity W  (mg cos )(h0  hf )  mg (h0  h f ) VT  r Gravitational Potential Energy PE  mgh Work Done by NonConservative Forces WNC  ( 1 mv f 2  mgh f )  1 mv0 2  mgh0 2 2 Tangential Acceleration aT  r   Static Frictional Force f sMAX  s FN