Meisel PHY 2020 Mid-Term Exam 3 Review: Projectile Motion, Mechanics, Thermodynamics - Pro, Exams of Physics

Download Meisel PHY 2020 Mid-Term Exam 3 Review: Projectile Motion, Mechanics, Thermodynamics - Pro and more Exams Physics in PDF only on Docsity! Formula/Review Sheet by Meisel PHY 2020 for Mid-Term Exam 3, v. 14 November 2005 t x v  [average speed = (distance)/(time)] Velocity is a vector! Speed is the magnitude of the velocity vector.   t xx t x v o      [instantaneous velocity = (change in distance)/(change in time)] t v a   [average acceleration = (change in velocity)/(time)] Acceleration is a vector! t v a    [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) t )vv( a o    o 2 o 2 xx2 vv a    t 2 vv xx oo         2oo attvxx 2 1  22 s ft 32 s m 8.9g   cosvv x 0CBxAx 2  A2 AC4BB x 2    sinvv y amF  [Force = (mass)(acceleration)] 2y 2 x vvv  Force is a vector! unit is N = Newton x y v v tan  Frictional Force is opposite to direction of motion. In equilibrium, the sum of all forces acting on a body is zero. 1 Formula/Review Sheet by Meisel PHY 2020 for Mid-Term Exam 3, v. 14 November 2005 Projectile Motion x-direction y-direction 0a x  ga y  ooxo cosvv  ooyo sinvv  xox vv  (constant!) gtsinvv ooy  t)cosv(xx ooo  2 ooo gtt)sinv(yy 2 1  Trajectory: 2 o 22 o o xcosv2 g x)(tany   Max. Height: g2 sinv h 0 22 o  Range: g 2sinv R o 2 o  fo EE  Conservation of Energy ffoo )KE()PE(W)KE()PE(  dFW  [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. d)cosF(W  KE(linear) = 2vm 2 1 of )KE()KE(KEW  t W P  [Power = (work)/(time)] (unit is W, Watt) v)cosF(vFP  Spring (with spring constant k): kxF  2xk 2 1 PE  PE or U (Potential Energy) of gravity: hgmU  mvp  [momentum = (mass) (velocity)] Momentum is a vector! t p F    [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): tFI  2