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PHYSICS

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Physics Formulas Kinematics: One-Dimensional Motion
Δd = displacement (in m)
d2 = final position (in m) d1 = initial position (in m) __________________________________________________________________________________
Δt = time interval (in s)
t2 = final time (in s) t1 = initial time (in s) __________________________________________________________________________________ v bar = average velocity (in m/s)
Δd = d = displacement (in m)
d2 = final position (in m) d1 = initial position (in m)
Δt = t
= time interval (in s) t2 = final time (in s) t1 = initial time (in s) __________________________________________________________________________________ a bar = average acceleration (in m/s2)
Δv = change in velocity (in m/s)
v2 = final velocity (in m/s) v1 = initial velocity (in m/s)
Δt = time interval (in s)
t2 = final time (in s) t1 = initial time (in s) __________________________________________________________________________________ a = acceleration (in m/s2)
Δv = change in velocity (in m/s)
vf = final velocity (in m/s) vi = initial velocity (in m/s) t = time interval (in s) __________________________________________________________________________________ vf = final velocity (in m/s) vi = inital velocity (in m/s) a = acceleration (in m/s2) t = time (in s) d = displacement (in m) __________________________________________________________________________________ vf = final velocity (in m/s) vi = inital velocity (in m/s) t = time (in s) d = displacement (in m) _________________________________________________________________________________ vi = inital velocity (in m/s) a = acceleration (in m/s2) t = time (in s)d = displacement (in m)
__________________________________________________________________________________ vf = final velocity (in m/s) vi = inital velocity (in m/s) a = acceleration (in m/s2) d = displacement (in m) g = - 9.80 m/s2 __________________________________________________________________________________
Forces
__________________________________________________________________________________ FNET = net force (in N) m = mass (in kg) a = acceleration (in m/s2) ____________________________________________________________________________________ W = weight (in N) m = mass (in kg) g = acceleration due to gravity (9.80 m/s2) ____________________________________________________________________________________ Ff = frictional force (in N)
μ = coefficient of friction (unitless)
FN = normal force (in N) ____________________________________________________________________________________ at constant velocity only Ff = frictional force (in N) FA = applied force (in N) ____________________________________________________________________________________ on a horizontal surface only FN = normal force (in N) W = weight (in N) ____________________________________________________________________________________ at constant velocity on a horizontal surface only FA = applied force (in N)
μ = coefficient of friction (unitless)
W = weight (in N) ____________________________________________________________________________________ Fg= force of gravitational attraction between two objects (in N) K = Universal gravitation constant = 6.67 X 10-11 Nm2/kg2 m1 and m2 = masses of the two objects (each in kg) d = distance between the centers of the objects (in m) ____________________________________________________________________________________
Vectors
____________________________________________________________________________________ Pythagorean theorem relating the lengths of the legs (a and b) to the hypotenuse (c) in a right triangle ____________________________________________________________________________________ Trigonometric definition of sine as the ratio of the length of the opposite side to the hypotenuse ____________________________________________________________________________________ Trigonometric definition of cosine as the ratio of the length of the adjacent side to the hypotenuse ____________________________________________________________________________________ Trigonometric definition of tangent as the ratio of the length of the opposite side to the adjacent side ____________________________________________________________________________________ Trigonometric identity equating the sine of an angle to cosine of its complement ____________________________________________________________________________________ Trigonometric identity equating the tangent of an angle to reciprocal of the tangent of its complement ____________________________________________________________________________________ Ax = length of the x-component of vector A Ay = length of the y-component of vector A A = magnitude of vector A
θ = angle of vector A (in standard degrees
counterclockwise from the x-axis)
____________________________________________________________________________________ Statement showing that the x-component of a resultant vector is equal to the sum of the x-components of the component vectors ____________________________________________________________________________________ Statement showing that the y-component of a resultant vector is equal to the sum of the y-components of the component vectors ____________________________________________________________________________________ Equation for the calculation of the magnitude of the resultant vector given its components ____________________________________________________________________________________ Equation for the calculation of the direction of the resultant vector given its components ____________________________________________________________________________________ F perpendicular = the perpendicular component of the weight of an object on an inclined plane (in N) W = weight (in N)
θ = angle of inclination of an inclined plane (in degrees)
____________________________________________________________________________________ F parallel = the parallel component of the weight of an object on an inclined plane (in N) W = weight (in N)
θ = angle of inclination of an inclined plane (in degrees)
m = mass (in kg) g = acceleration due to gravity (9.80 m/s2) ____________________________________________________________________________________ a = acceleration of an object down a frictionless inclined plane (in m/s2) g = acceleration due to gravity (9.80 m/s2)
θ = angle of inclination of an inclined plane (in degrees)
____________________________________________________________________________________ Ff = frictional force on an inclined plane (in N) F perpendicular = the perpendicular component of the weight of an object on an inclined plane (in N)
μ = coefficient of friction (uni
tless) W = weight (in N)
θ = angle of inclination of an inclined plane (in degrees)
m = mass (in kg) g = acceleration due to gravity (9.80 m/s2)

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