# FORMULA - Dr Hoselton Mr Price#3 Reference Guide Formula...

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Dr. Hoselton & Mr. Price Page 1 of 8 Version 5/12/2005 #3 Components of a Vector if V = 34 m/sec 48° then V i = 34 m/sec• (cos 48°); and V J = 34 m/sec• (sin 48°) #4 Weight = m g g = 9.81m/sec² near the surface of the Earth = 9.795 m/sec² in Fort Worth, TX Density = mass / volume () 3 / : m kg unit V m = ρ #7 Ave speed = distance / time = v = d/t Ave velocity = displacement / time = v = d/ t Ave acceleration = change in velocity / time #8 Friction Force F F = µ •F N If the object is not moving, you are dealing with static friction and it can have any value from zero up to µ s F N If the object is sliding, then you are dealing with kinetic friction and it will be constant and equal to µ K F N #9 Torque τ = F•L•sin θ Where θ is the angle between F and L; unit: Nm #11 Newton's Second Law F net = Σ F Ext = m•a #12 Work = F D cos θ Where D is the distance moved and θ is the angle between F and the direction of motion, unit : J #16 Power = rate of work done unit : watt Efficiency = Work out / Energy in Mechanical Advantage = force out / force in M.A. = F out / F in #19 Constant-Acceleration Linear Motion v = v ο + a•t x (x-x ο ) = v ο •t + ½•a•t² v v ² = v ο ² + 2•a• (x - x ο ) t (x-x ο ) = ½•( v ο + v) •t a (x-x ο ) = v•t - ½•a•t² v ο #20 Heating a Solid, Liquid or Gas Q = m•c• T (no phase changes!) Q = the heat added c = specific heat. T = temperature change, K #21 Linear Momentum momentum = p = m•v = mass • velocity momentum is conserved in collisions #23 Center of Mass – point masses on a line x cm = Σ( mx) / M total #25 Angular Speed vs. Linear Speed Linear speed = v = r• ω = r • angular speed #26 Pressure under Water P = ρ •g•h h = depth of water ρ = density of water #28 Universal Gravitation 2 2 1 r m m G F = G = 6.67 E-11 N m² / kg² #29 Mechanical Energy PE Grav = P = m•g•h KE Linear = K = ½•m•v² #30 Impulse = Change in Momentum F• t = ∆( m•v) #31 Snell's Law n 1 •sin θ 1 = n 2 •sin θ 2 Index of Refraction n = c / v c = speed of light = 3 E+8 m/s #32 Ideal Gas Law P•V = n•R•T n = # of moles of gas R = gas law constant = 8.31 J / K mole. #34 Periodic Waves v = f λ f = 1 / T T = period of wave #35 Constant-Acceleration Circular Motion ω = ω ο + α •t θ θ−θ ο = ω ο •t + ½• α •t² ω ω 2 = ω ο 2 + 2• α (θ−θ ο ) t θ−θ ο = ½• ο + ω )•t α θ−θ ο = ω •t - ½• α •t² ω ο time Work Power =

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Dr. Hoselton & Mr. Price Page 2 of 8 Version 5/12/2005 #36 Buoyant Force - Buoyancy F B = ρ •V•g = m Displaced fluid •g = weight Displaced fluid ρ = density of the fluid V = volume of fluid displaced #37 Ohm's Law V = I•R V = voltage applied I = current R = resistance Resistance of a Wire R = ρ •L / A x ρ = resistivity of wire material
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FORMULA - Dr Hoselton Mr Price#3 Reference Guide Formula...

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