Formulas

    • PYTHAGOREAN THEOREM
    • Resultant squared = side A squared + side B squared
    • R2 = A2 + B2
    • LAW OF COSINE
      • Resultant squared = side A squared + side B squared - side A x side B x adjacent angle

    • R2 = A2 + B2 – ABCos
    • COSINE
    • Ax = A cos ( Cos = adjacent side/hypotenuse)
    • SINE
    • Ay = A sin (Sin = Opposite side/hypotenuse)
    • TANGENT
    • Tan = Ry / Rx
    • VELOCITY
      • Velocity = Distance / Time
      • v = d/t

    • ACCELERATION
      • Acceleration = Velocity / Time
      • a = v/t
      • a = v2 – v1 / t

    • VELOCITY W/CONSTANT ACCELERATION
    • Final velocity = initial velocity + acceleration x time
    • V2 = v1 + at
    • FINAL POSITION (DISTANCE) W/CONSTANT ACCELERATION
    • Final position = initial position + half of the final velocity + initial velocity x time
    • D2 = d1 + ½ (v2 + v1)t
      • Final position = initial position + initial velocity x time + half of acceleration x time

    • D2 = d1 + v1t + ½ at
    • FINAL VELOCITY W/CONSTANT ACCELERATION
      • Final velocity = initial velocity squared +2 x acceleration x final distance – initial distance

    • V22 = v12 + 2a(d2 – d1)
    • NEWTON’S SECOND LAW
    • Acceleration = net force / mass
    • A = Fnet/m
    • NEWTON’S SECOND LAW AS WEIGHT
    • Weight force = mass x gravity of planet
    • Fw = mg
    • WEIGHT AND ACCELERATION
    • Force = mass x acceleration + gravity of planet
    • F = m(a + g)
    • KINETIC FRICTION FORCE
    • Friction force = the kinetic coefficient of friction x Net force
    • Ff = µkFNet
    • Example, Push force = kinetic coefficient of friction x mass x gravity
    • Therefore, Fp = µk x m x g
    • PERIOD OF A PENDULUM
    • Time = 2 x pi square root of length / gravity of planet
    • T = 2L/g
    • CIRCULAR VELOCITY
    • Velocity = 2 x pi x radius / time
    • V = 2r/t
    • CENTRIPETAL ACCELERATION
    • Acceleration = 4 x pi squared x radius / time squared
    • Ac = 42r/t2
    • CENTRIPETAL ACCELERATION W/VELOCITY
    • Ac = v2 / r
    • FREQUENCY
    • Frequency = 1 / time
    • F = 1/t
    • Acceleration
    • a = V2 / r
    • Kepler's 3rd Law
    • (period of 1st planet / period of 2nd planet) squared = (radius of 1st planet / radius of 2nd planet) cubed

    (TA / TB)2 = (rA / rB)3

    • Law of Universal Gravitation
    • Force = (force of gravitational attraction x mass of 1st planet x mass of 2nd planet) / distance squared.

    F = GmAmB / d2

    • Period of Planetary Motion
    • Time squared = (4 x pie squared / force of gravitational attraction x mass) x radius cubed

    T2 = (42 / Gm)r3

     

    • Speed of an object in circular motion
    • velocity = the square root of (force of gravitational attraction x mass of earth / radius)

    V = (Gme / r)

    • Period for a satellite circling the earth
    • time = 2 x pie x the square root of (radius cubed / force of gravitational attraction x mass of earth)

    T = 2(r3 / Gme)

    • Momentum
    • momentum = mass x velocity
    • P = mv
    • Impulse-Momentum Theorem
    • Force x the change in time = final momentum - initial momentum

    Ft = P2 – P1

    • Conserved Momentum
    • momemtum of final A + momentum of final B = momentum of initial A + momentum of initial B

    PA2 + PB2 = PA1 + PB1