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Physics Cheat Sheet - Alan Leigh-Lancaster

Scalar Quantities: Magnitude only, no direction. E.G Speed, Distance, AVG Speed (Distance/Time) Vector Quantities: Magnitude and Direction E.G Velocity, Displacement, AVG Vel (Displ/Time) U = Initial Velocity (ms^-1) V= Final Velocity (ms^-1) X= Displacement (m) T = Time(seconds) A= Acceleration (ms^-2)

V=u+a*t X = u * t + 1/2 a * t^2 | x - v * t - 1/2 a * t^2 X = ((u+v)/2) * t v^2 = u^2 + 2 * a * x V = sqrt(v^2 + 2 * a * x

When solving motion in 2 directions, use Pythagoras to calculate actual force (IE sqrt(vertical^2 + horizontal^2). tan (x) = horiz / vert --> tan^-1(horiz/vert) tan^-1(horiz/vert) = degrees F = Force (N) A = Acceleration (ms^-2) M = Mass (KG) Weight is M * g, in Newtons g = -9.83, -9.8, -10 m s^-2 P = Momentum (KG MS^-1) I = Impulse (newtons/second)

F = M * A | M=F/A | A = F/M P=m*v I = Δp/T = FΔT Apparent Wight = what you feel

Work (E) in Joules = N M^-1 Ke = Kinetic Energy Pe = Potential Energy K = spring constant Total Energy = KE + PE (same in isolated system) Hookes Law, Linear Spring Disp/Energy Disp/Energy Gravitational Potential Energy (m * g * h)

Work Done = f Δ x Ke = 1/2 M * V^2 (Joules) Pe = spring/gravitational spring/gravitational Hooke's Law = F = k x Spring Potential = 0.5 k * x^2 (joules)

Area under Displacement/Force Graph is work done (Joules) = stress N/m^2

= F/A

ε = strain (m) or norm x * 10^-3 m ε = ΔL/L Elastic Collision - All energy is returned, no plastic deformation occurred Inelastic Collision - Some energy is lost/converted, eg a spring deforms Graph Below:

M = Big Mass (kg) EG Earth R = radius (m) M = smaller mass (kg)EG Satellite Random R^3/T^2 = constant

G (gravity at distance r) = GM/r^2 F (between 2 objects) = GM * m / R^2 G(Big) = 6.674 * 10^-11 N(m/kg)^2

Electricity: V = Voltage (Joules/coulomb) I = Amperage (Current (coulombs/sec) R = Resistance (Ohms) Voltage Divider, splits voltage. Current is split over inverse ratio of resistors.

Constants:

V=I*R | I = V/R | R = V/I Vout = R2 * Vin/R1+R2 (r2 is load, r1 is all other resistors. 1/Rt =1/R1 + 1/R2 + 1/RX