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# MCAT Formula Sheet

UCLA

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This 2 page Bundle was uploaded by Sami Smith on Friday February 28, 2014. The Bundle belongs to a course at University of California - Los Angeles taught by a professor in Fall. Since its upload, it has received 181 views.

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Date Created: 02/28/14

MCAT PHYSICS basic concepts and equations Translational Motion vectors add like arrows F F cos6 Fy F sin6 FFf F2 9 tan 1FyFx V E quot quot At vinstantaneous slope of tangent line on distance graph Av am E ainstantaneous slope of tangent line on velocity graph kinematics equations If a constant in xdir then x x0 v0t at2 v v0 at v2 v02 2aAx similar in y zdirections with relevant ay az eefall ay g z 10 mS2 ax az 0 gt decoupling of components Force Motion amp Gravitation NI ifno F no d ie inertia N22 SF mc7 N3 F12 F21 always NG FG G M weight FG w mg iction F f u N ropes T pulls on both ends spring F kx x from equilibrium Circular motion concept I inward force 2 ac V centripetal 2 Fnet maC mv r v 2 rperiod eq lperiod co 2nperiod concept 2 kinematics eqns d r19 6 in radians v rco co in rads a P0 a in radS2 gt tangential not the same as ac 0 60 co0t oa 2 co coo 04 co2 cooz 2aA0 Work amp Energy W F d cos6 negative for eg friction KE 2 mv2 gravity PE mgh GmM gravity general PE r spring PE 2 kxz x from equilibrium WorkEnergy Theorem Energjbef Work Energy W Power energytime rate of work being done Equilibrium translational equilibrium SF 0 rotational equilibrium 2 0 torque 1 rF sin 9 riF rFi rL lever arm Momentum p mv conserved if no outside forces 213 213 gt especially useful for collision problems elastic collisions KE is conserved Periodic Motion period T time in which motion repeats itself eq 1 T co 2717T amplitude center to peak x xampCOSat xm spring T 21 g pendulum T 22 Z for angles close to vertical 8 Waves wavelength A distance over which wave repeats speed of wave v 2L f interference amplitudes add when waves cross beats fbeat f1 f2 iffl close tofg standing waves wave moves updown but doesn t travel gt pictures if nodes on ends antinodes or mixed nodes no oscillation vs antinodes largest oscillation harmonics l 2 3 vs overtones Fund 1 2 longitudinal osc to v vs transverse osc J to v Sound f gt pitch you hear longitudinal wave pressure oscillation is parallel to direction of travel Doppler e ect frequency increases decreases because wavefronts bunch up slow down dB decibels 1 oc 105 eg I60dB 100x I40dB page 1 MCAT PHYSICS basic concepts and equations Fluids and Solids density p m V speci c gravity SG pp1120 gt p1120 l gcm3 1000 kgm3 pressure P FA underwater P Pam pgd Pascal s Law any applied pressure is transmitted throughout uid Archimedes Principle uid helps support weight gt buoyant force B p uid Vobject g weight of the displaced uid Movingfluids at positions 1 and 2 along path A1 v1 A2 v2 Eqn of continuity mass conserved P1 2pv12 pgy1 P2 12pv22 pgy2 Bernoulli s Law energy conserved Solids with applied loads pushes or pulls stress 0 FA strain 8 ALL tensile strength maximum abefore breaking Young s modulus Y 08 slope of stressstrain Electrostatics 61 2 I force between q and Q Coulomb s Law FC electric eld E 1 potential to feel a force from q r F QE actual force felt by Q eld lines 1 Go away from positive q towards negative q 2 Do not cross 3 Have highest density where eld is strongest 4a Close to a charge gt look like single charge 4b Far from all charges gt look like single charge if there is a net charge potential energy PE 1 energy of Q due to q electric potential V k q potential to have PE from q r work W Q AV work to move Q from V1 to V2 special case if constant E then AV E Ax equipotential lines 1 Always J to eld lines 2 Go around the hill 3 Most closely spaced where E is strongest 4a Close to a charge gt look like a single charge 4b Far from all charges gt look like single charge if there is a net charge Magnetic Fields magnetic force F qvBsin6 qvB qvB electric current I AqAt force on currentcarrying wire F ILBsin6 constant B no E circularhelical motion gt r mvqB Electric Circuits resistors Ohm s Law V1 R V1 resistor s voltage drop series resistors Req R1 R2 parallel resistors R3 lR1 lR2quot1 Power lost by each resistor PR I 112R VR2R power supplied by battery P1 V311 Kircho quots laws junction rule at a junction 21 2101 loop rule around a loop 2 Iceses 2 Vdecmses capacitors VC C series capacitors Ceq lC1 lC2 parallel capacitors Ceq C1 C2 PEWI 12 C V2 chargingdischarging capacitors quotRC time constant 17 RC Light f gt color you see transverse wave oscillation in electricmagnetic elds is J to direction of travel and E B J to each other c hf c 3x108 ms Law Ofre ection aincident are ected Law of refraction Snell s law n1sin61 n2sin62 gt 6 measured from the perpendicular gt n index of refraction speed of light cn total internal re ection for 6gt6C critical 61 sinquot1n2n1 Lenses converging convex vs diverging concave lens equation lf ldo ld real image can put paper lm there to see it virtual image cannot put paper there at image spot to see it gt like looking through magnifying glass Sign conventions for lens equation assuming light rays come from the left positive negative do if on the left of the if on the right of the lens lens can only happen in a multiple lens problem d if on the right of if on the left of the the lens lens means a real means a virtual image image f if a convex lens if a concave lens m if rightside up if upsidedown magni cation M hho de nition gt M ddo 11S6f11l for calculation multiple lenses d of 1 lens becomes do of 2nd lens gt each distance measured from its own lens gt total magni cation M10 M1 x M2 x p0 spherical mirrors f R2 gt lens equation still works gt slightly different sign conventions page 2

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