AP Physics 1 Equations Sheet

This equation shows how to calculate the final velocity "v"of a motion starting with an initial velocity "vo" and experiencing a single constant acceleration "a" for a time "t"

This equation shows how to calculate the final position "x" based on initial position "xo" initial velocity "vo" the acceleration "a" that lasts for time "t"

This equation shows how to calculate the square of the final velocity "v^2" based on the square of the initial velocity "vo^2" the acceleration and the displacement

This equation shows how to calculate the net force acting ON an object based on the objects mass "m" and acceleration "a"

This equation shows how to calculate The Force of static or kinetic friction acting on an object based on the coefficient of friction "mu" between the object and the surface and the normal force "FN"

Location

This equation shows how to calculate the centripetal acceleration based on the objects speed "v" and the radius of the turn "r"

This equation shows how to calculate an objects momentum "p" based on the objects mass "m" and velocity " v"

This equation shows how to calculate the impulse "J" (not shown) which is equal to the change in momentum "delta p" (shown) which is also equal to the product of the Force "F" and length of time "delta t" that the force acts on the object.

This equation shows how to calculate the Kinetic energy "K" based on the mass "m" and the speed squared "v^2"

This equation shows how to calculate Work "W" as either the change in energy "delta E" or as the product of a force "F" and the displacement "delta d" that the force acts through. If they are not in the same direction, the angle "theta" must be included in the calculation.

This equation shows how to calculate power "P" based on the change in energy "delta E" and the time required for the energy change "delta t"

This equation shows how to calculate the position in rotation "theta" based on a starting rotational position "theta naught" , an initial rotational velocity "omega naught", a single rotational acceleration "alpha" and the duration of time of alpha "t"

This equation shows how to calculate the final rotational speed "omega" based on the initial rotational speed "omega naught" a single rotational acceleration "alpha" and the duration of time of alpha "t"

This equation shows how to calculate the position of an oscillating object "x" based on the amplitude of oscillation "A" the frequency "f" and the time "t"

This equation shows how to calculate the rotational acceleration "alpha" based on the total torque "sigma tau" and the rotational inertia "I"

This equation shows how to calculate the torque "tau" exerted by a force "F" at a distance "r" from a chosen axis of rotation. The angle between the force and radius is theta and must be included if F and r are not perpendicular.

This equation shows how to calculate the rotational momentum of an object based on its rotational inertia "I" and its rotational speed "omega".

This equation shows how to calculate the change in rotational momentum "delta L" based on the total torque "tau" and the length of time of action "delta t".

This equation shows how to calculate the rotational kinetic energy "K" based on the rotational inertia "I" and the rotational speed "omega".

This equation shows how to calculate the force exerted by a spring of stiffness constant "k" stretched or compressed by distance "x"

This equation shows how to calculate the energy "E" stored in a spring of stiffness "k" stretched or compressed by distance "x"

This equation shows how to calculate the density of an object "rho" based on the objects mass "m" and volume "V"

This equation shows how to calculate the gravitational potential energy "delta Ug" of an object with mass "m" NEAR THE SURFACE of a planet with acceleration due to gravity "g" at a height "delta y" compared to an arbitrarily chosen zero height.

This equation shows how to calculate the Period of oscillation based on the inverse of the rotational speed "omega" or the inverse of the frequency "f".

This equation shows how to calculate the period of a mass oscillating on the end of a spring and is based on only the mass "m" and the stiffness of the spring "k".

This equation shows how to calculate the period of a pendulum based on only the length of the pendulum "cursive l" and the acceleration due to gravity at that location "g".

This equation shows how to calculate the force of gravity "FG" between any two objects of mass "m1" and "m2" whose center to center distance is "r"

This equation shows how to calculate the force of gravity also called the weight "Fg" based on the mass of the object "m" and the acceleration of gravity "g" at that location.

This equation shows how to calculate the Gravitational potential energy "U" between any two objects of masses "m1" and "m2" whose center to center distance is "r".

This equation shows how to calculate the electric Force of attraction or repulsion "FE" in Newtons between any two objects with charges "q1" and "q2" in Coulombs whose center to center distance is "r" in meters.

This equation shows how to calculate the Electric current "I" in Amps based on the amount of charge "delta q" in coulombs that passes a single point in time "delta t".

This equation shows how to calculate the electrical resistance "R" of an object in ohms based on the objects resistivity "rho" the length of the object "cursive l" in meters and the cross sectional area of the object "A" in meters squared.

This equation shows how to calculate the Electrical current "I" in amps based on the electrical potential difference or voltage "delta V" in volts and the electric resistance "R" in ohms.

This equation shows how to calculate the electrical power "P" in watts based on the electrical current "I" in amps and the voltage "V" in volts.

This equation shows how to calculate the total equivalent resistance "R" in ohms based on the electrical resistance values of individual resistors grouped in series (one after the other on the same wire).

This equation shows how to calculate the total equivalent resistance "R" in ohms based on the electrical resistance values of individual resistors grouped in parallel (each beside the other on separate wires).

This equation shows how to calculate the wavelength of a wave "lambda" in meters based on the speed of the wave "v" in m/s and the frequency of the wave "f" in 1/s or hertz (hz).