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This 2 page Study Guide was uploaded by Usman Qureshi on Wednesday November 18, 2015. The Study Guide belongs to a course at a university taught by a professor in Fall. Since its upload, it has received 18 views.
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Date Created: 11/18/15
IAP 2006 801L SUMMARY OF EQUATIONS Note Quantities shown in bold are vectors V drdt a dvdt I I v 2 v0 at For constant acceleratlon a 1f at t O r r0 and v v0 1 2 I I 0 V0t 7at v2 2 Clrcular motlon at constant speed a z 0 r Centr1petal acceleratlon p01nts towards center of c1rc1e o is angular speed in radians per second Adding relative velocities quotwrt is short for quotwith respect to VA VB vA wrt wrt wrt B 2 F 0 ltgt a 0 Newton s rst law F ma or F dpdt Newton s second law FAB FBA Newton s third law p mv momentum t2 2 Q 1 F dt jt dt dt p2 p1 1mpulse Emil I cm pos1t10n of center of mass Zml F kx spring force f S N Friction force relative to Normal force GMm A F 2 1 grav1tat10nal force between two part1cles r W dr work done by force F WW 2 AE E F E I E KE PE workenergy theorem dU 13x 2 d force der1ved from potent1al energy x Potential Energies U kxz spring force U GMm gravitational general U mgh gravitational near Earth r a km XAcosat Equations for Simple Harmonic Motion v Aosinat T 2 PZ pgyz 2 Pl pgyl Pascal s Law pressure versus height in a liquid with velocity O P 1pv2 p gy constant Bernoulli s equation A2222 A101 continuity equation PV NkT nRT idealgas law G my2 EkT de nition of kinetic temperature FB p fog buoyancy force f uid displaced Quantity Translational Rotational about axis Velocity acceleration v a a a vRa a Ra Mass M 2m I ZmiRl2 Kinetic energy QMv2 Ia 2 Net force 2 Fext MaCm 2 Ted I a Momentum p mV L r x p or LI D dL 1 r x F EzIoc ITI rF sm Fri torque equatlons L r x p L mvr sinp angular momentum of point particle LIo angular momentum for solid object II Icm Md2 parallel axis theorum I 2 MR2 cylinder around center I MR2 solid sphere around center I I IZML2 rod around center I ML2 rod around end KE 2 MTotv M glaua2 kinetic energy for object moving and rolling 1 KE 2 fI 02 k1net1c energy for object rotat1ng around a xed p1vot Pivot Physical Constants g 98 ms2 Use the approximate value g 10 ms2 Where told to do so G 667gtlt1011 N m2kg2 k 138x103923 JK R 831 Jmol K 0 C 2 273 K Density of water 1000 kgm3 5 Atmospheric pressure l0gtlt10 Pa Conversion reminder 7 radians 1800 Lazy Physicist 39s Favorite Angle to be used when calculators are not allowed 3690 and 5310 are the angles of a 345 right triangle so sin369 cos531 060 cos369 sin531 080 tan369 075 tan531 133 Other DossiblV Useful Trig Functions cos30 sin60 sin30 cos60 12 cos45 sin45 XE b i Jbz 4616 Solution to a Quadratic Equation If ax2 bx c 0 then x 2 a
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