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phyx eqns mechanics
| Question | Answer |
|---|---|
| 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 |