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Physics 1 to 4 Formulas

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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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