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One Dimensional Kinematics
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Velocity (average) equals displacement traveled divided by the time it took that displacement to occur.
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Acceleration (average) equals the change in velocity over the time it took that change to occur.
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The final velocity is equal to the initial velocity plus the acceleration multiplied by the time.
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The displacement is equal to half (the initial velocity plus the final velocity) multiplied by the time.
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Displacement equals the initial velocity multiplied by the time, plus half the acceleration multiplied by the time squared.
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The final velocity squared is equal to the initial velocity squared plus twice the acceleration multiplied by the displacement.
Forces
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The sum of all the forces is equal to the mass times the acceleration.
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The force of gravity acting on a two objects is equal to the gravitational constant time the mass of the first object times the mass of the second object divided by the displacement between their centers squared.
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The weight of an object (on earth) is equal to its mass times the acceleration due to gravity.
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The apparent weight of an object (the normal force) is equal to the mass of the object times the acceleration due to gravity (its actual weight) plus its mass times the acceleration it is undergoing.
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The maximum force that static friction can exert on an object is equal to the static friction coefficient times the normal force.
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The kinetic (sliding) frictional force is equal to the coefficient of kinetic friction times the normal force.
Circular Motion
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The speed of an object in uniform circular motion is equal to two times pi (I like pi) times the radius divided by the period of the circle.
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The centripetal acceleration is equal to the object's speed squared divided by the radius.
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The centripetal force is equal to the mass times the velocity squared divided by the radius.
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The tangent of the angel of the incline is equal to the velocity squared divided by the radius times the acceleration due to gravity.
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The velocity squared of an object in orbit around the earth is equal to the gravitational constant times the mass of the earth divided by the distance from the enter of the earth to the center of the object.
Work and Energy
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Work is equal to the force times the cosign of the angles to which it is applied with respect to the horizon (all that means just count the force that is in the same direction as the motion) times the displacement.
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The kinetic energy is equal to half the mass times the velocity squared.
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The gravitational potential energy of an object is equal to its mass times the acceleration due to gravity times its displacement from ground level (or any other arbitrary reference level).
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The work done on an object is equal to the change in kinetic energy plus the change in gravitational potential energy.
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The work done on an object is equal to one half the mass times the final velocity squared minus one half the mass times the initial velocity squared plus the mass times the acceleration times the final height minus the mass times the acceleration due to gravity times the initial height
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Power (average) equals work divided by time.
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Power equals force times velocity.
Electricity
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The Force between two point charges is equal to the electrostatic constant multiplied by the magnitude of the first charge, multiplied by the magnitude of the second charge, divided by the distance between their centers' squared.
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The electric field is equal to the force felt by a test charge, divided by the magnitude of the charge.
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The Voltage between two points is equal to the magnitude of the electrical field, multiplied by the distance between the two points.
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Current is equal the amount of charge that passes through a cross section of the conductor divided by the time.
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Resistance is equal to voltage divided by current. NOTE: The resistance is NOT dependent on these things. If you change one the other will change too.
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Electrical power is equal to the current squared, times the resistance.
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Electrical power is equal to the voltage times the current.
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Electrical power is equal to the voltage squared over the resistance.
Series Circuits
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The current at any point on a series circuit is the same as the current at any other point on the circuit.
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The total resistance in a circuit is equal to the first resistor, plus the second resistor, plus the third resistor, and so on.
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The total voltage is equal to the first voltage plus the second voltage plus the third voltage, and so on.
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The total current is equal to the total voltage divided by (resistor one plus resistor two plus resistor three and so on)
Parallel circuits
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The voltage between any two point on a parallel circuit is the same as the voltage between and two other points.
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The total current is equal to, the first current plus the second current, plus the third current, and so on.
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The inverse of the total resistance is equal to the inverse of the first resistor plus the inverse of the second resistor, and so on.
If any of the above was unclear, or if you have any comments or suggestions, please E-mail me!
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