ࡱ> VXU7 RbjbjUU b7|7|8l0000000D 8 d| ,Df \"~~~]]]$! <# 0]]]] y00~~E yyy]0~0~y]yly00~ VkD q6 0f $y$yDD0000Formula/Review Sheet by Meisel PHY 2020 for Mid-Term Exam 1, v. 11 September 2004   EMBED Equation.3  [average speed = (distance)/(time)] Velocity is a vector! Speed is the magnitude of the velocity vector.  EMBED Equation.3  [instantaneous velocity = (change in distance)/(change in time)]  EMBED Equation.3  [average acceleration = (change in velocity)/(time)] Acceleration is a vector!  EMBED Equation.3  [instantaneous acceleration = (change in velocity)/(change in time)] When given a graph of distance versus time, the slope is the velocity. When given a graph of velocity versus time, the slope is the acceleration. Workhorse Equations (for constant acceleration)  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  [Force = (mass)(acceleration)]  EMBED Equation.3  Force is a vector! unit is N = Newton  EMBED Equation.3  Frictional Force is opposite to direction of motion. In equilibrium, the sum of all forces acting on a body is zero. Projectile Motion x-direction y-direction  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  (constant!)  EMBED Equation.3   EMBED Equation.3  Trajectory:  EMBED Equation.3  Max. Height:  EMBED Equation.3  Range:  EMBED Equation.3   EMBED Equation.3  Conservation of Energy  EMBED Equation.3   EMBED Equation.3  [Work = (Force) (distance)] (unit is J, Joule) Force and distance are vectors and their dot product gives the scalar Work. So, use only the component of the Force that is in the direction of the movement.  EMBED Equation.3  KE(linear) =  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  [Power = (work)/(time)] (unit is W, Watt)  EMBED Equation.3  Spring (with spring constant k):  EMBED Equation.3   EMBED Equation.3  PE or U (Potential Energy) of gravity:  EMBED Equation.3   EMBED Equation.3  [momentum = (mass) (velocity)] Momentum is a vector!  EMBED Equation.3  [Force = (change in momentum)/(change in time)] (recall Force is a vector) I or J Impulse (if force applied in a short period of time):  EMBED Equation.3  EMBED Equation.3  Formula/Review Sheet by Meisel PHY 2020 for Mid-Term Exam 2, v. 15 October 2004 G = 6.67 ( 10(11 N m2 kg(2 1 bar = 1 ( 105 Pa NA = 6.022 ( 1023 particles = 1 mole 1 Pa = 1 N/m2 R = 8.314 J/(mole K) 1 cal = 4.186 J ( = 5.67 ( 10(8 W m(2 K(4 Conservation of Momentum: no external forces and no internal work done, then  EMBED Equation.3  Totally Elastic Collision: KE conserved and Momentum conserved.  EMBED Equation.3   EMBED Equation.3  Totally Inelastic Collision (two bodies stick together): KE is NOT conserved ; Momentum is.  EMBED Equation.3  RECALL Linear vs. Rotational Motion! RECALL Conservation of Energy and Momentum contains Linear and Rotational parts! RECALL Bodies in Equilibrium have net Force of zero and net Torque of zero. Period (T) is a time:  EMBED Equation.3  Gravitational Force:  EMBED Equation.3  Center of Mass:  EMBED Equation.3   EMBED Equation.3   EMBED Equation.3  Density:  EMBED Equation.3  Pressure is force per unit area. Bernouilli:  EMBED Equation.3  and  EMBED Equation.3  Archimedes:  EMBED Equation.3  Pascal:  EMBED Equation.3  Ideal Gas Law:  EMBED Equation.3  Temperature Scales: F = (9/5) C + 32 C = (5/9) [F ( 32] Heat Capacity/Specific Heat: K= C + 273  EMBED Equation.3  C = m c (here, c is specific heat)  EMBED Equation.3  Recall: heat is needed at a phase transition! Latent Heat of Fusion (solid-liquid) or Latent Heat of Vaporization (Evaporation). The latent heats at these transitions are normally independent of direct of warming/cooling through the transition. Units of latent heat is cal/g or J/g. Heat Flow:  EMBED Equation.3  (unit is J/s = W) Conduction:  EMBED Equation.3  (k = thermal conductivity). 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FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfoEquation Native m_1156490376FjjOle CompObjfObjInfoEquation Native d_1156490272Fjj   !$'*-.1458=@CFILMPSV[^adgjmpsvy|H  e@  e@1  e@2 m 1 v 1o2 + e@  e@1  e@2 m 2 v 2o2 = e@  e@1  e@2 m 1 v 1f2 + e@  e@1  e@2 m 2 v 2f2 FMicrosoft Equation 3.0 DS EqOle CompObjfObjInfo Equation Native  uation Equation.39qO^ m 1 2v  1o +m 2 2v  2o =m 1 2v  1f +m 2 2v  2f FMicrosoft Equation 3.0 DS Eq_1156490572FrjrjOle CompObjfObjInfouation Equation.39qx|  m 1 2v  1o +m 2 2v  2o =(m 1 +m 2 )2V   FMicrosoft Equation 3.0 DS EqEquation Native _1159334744F jjOle CompObjfuation Equation.39q.8| T=2Rv FMicrosoft Equation 3.0 DS Equation Equation.39qObjInfoEquation Native J_1159334823FjjOle CompObjfObjInfoEquation Native  o_1159335144F@!jjS(KL F=Gm 1 m 2 R 2 FMicrosoft Equation 3.0 DS Equation Equation.39q0A M=m i "Ole "CompObj#fObjInfo%Equation Native &L_1159335219F j jOle (CompObj)fObjInfo+ FMicrosoft Equation 3.0 DS Equation Equation.39qkc # X=m i x i " m i "Equation Native ,_1159335301FIjIjOle /CompObj0f FMicrosoft Equation 3.0 DS Equation Equation.39qk Y=m i y i " m i " FMicrosoft Equation 3.0 DS EqObjInfo2Equation Native 3_1159335536FjjOle 6CompObj7fObjInfo9Equation Native :>_1159335791Fpkpkuation Equation.39q"ȟ =mV FMicrosoft Equation 3.0 DS Equation Equation.39qdD P+gh+Ole ;CompObj<fObjInfo>Equation Native ?12v 2 =const. 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