Physics 1401 Formula Sheet Final Chapter 2 One Dimensional Kinematics x x f xi total distance traveled total time average speed vav v lim vav lim aav v t Constant linear acceleration v v0 at a lim aav lim t 0 x x f xi t t f ti t 0 t 0 1 v0 v t 2 1 x x0 v0t at 2 2 v 2 v02 2a x x0 x x0 x t v v f vi t t f ti t 0 Chapter 5 Newton s Laws of Motion F ma W mg Chapter 6 Applications of Newton s Laws f s s N Fsp kx f k k N a cp v2 r Chapter 7 Work and Kinetic Energy W F r Fd cos 1 mv 2 2 Wnet K K 1 Wsp kx 2 2 W P Fv t Chapter 8 Potential Energy and Conservation of Energy Wc U U g mgy E K U U sp Wnc E 1 2 kx 2 Chapter 9 Linear Momentum and Collisions p mv p F lim t 0 t p F av t I F av t p mi xi m1 x1 m2 x2 mi m1 m2 X cm Ycm v1i v1 f v2i v2 f 1 D elastic m1 v1i m2 v 2i m1 v1 f m2 v 2 f mi yi m1 y1 m2 y2 mi m1 m2 Formula Sheet Final Page 2 Chapter 10 Rotational Kinematics and Energy s r f i av lim av lim t 0 t T 2 vt r at r a cp r 2 0 t 1 0 t 2 1 0 0t t 2 2 2 02 2 0 0 t 0 t f i t t f ti Constant angular acceleration f i t t f ti N I mi ri 2 m1r12 m2 r22 i 1 N point masses 1 K rot I 2 2 1 1 2 K total K trans K rot Mv CM I CM 2 2 2 CM is center of mass Moments of Inertia for Uniform Rigid Objects of Various Shapes Chapter 11 Rotational Dynamics and Static Equilibrium r F rF sin I L r p L I L rmv sin W L t Formula Sheet Final Page 3 Chapter 12 Gravity Fg G m1m2 r 2 G 6 67 10 11 U grav G T2 vesc N m2 kg 2 4 2 3 r GM 2GM R m1m2 r A list of solar system data is located at the end of the formula sheet Chapter 13 Oscillations about Equilibrium 1 T 2 f T f 2 x A cos t v A sin t a A 2 cos t T 2 m k T 2 L g T 2 l g k m Chapter 14 Waves and Sound v f v 343 m s speed of sound in air at standard temperature and pressure 10log I I 0 I 0 10 12 W m2 u 1 o v f u 1 s v P2 P1 gh Patm 1 01 105 Pa F v m L P I A f Chapter 15 Fluids P F A m V FB gV I ml 2 Physics 1401 Formula Sheet Final Chapter 16 Temperature and Heat 9 TF TC 32 5 5 TF 32 9 TK TC 273 15 TC 1 cal 4 186 J Q mc T Q kA L L0 T A 2 A0 T V 3 V0 T V0 T T t L P e AT 4 Pnet e A T 4 Ts4 Chapter 17 Ideal Gas Law PV NkT k 1 38 10 23 J K Boltzmann s constant PV nRT R 8 31 Q mL K avg vrms U Q W W P V Q e 1 c Qh 3 kT 2 3kT 3RT m M Chapter 18 The Laws of Thermodynamics Solar System Data radius of Earth RE 6 37 106 m radius of Moon RM 1 74 106 m mass of Earth M E 5 97 1024 kg mass of Moon 7 35 1022 kg mass of Sun Earth Moon distance gas constant J universal mol K 3 NkT 2 L F A L0 x F S A L0 V P B V0 U 2 00 1030 kg 3 84 108 m 11 Earth Sun distance 1 50 10 m emax 1 S Q T Tc Th
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