9702_s02_qp_2

Data

speed of light in free space,c=3.00×108m s–1 permeability of free space,␮0=4␲×10–7H m–1 permittivity of free space,⑀0=8.85×10–12F m–1 elementary charge,e=1.60×10–19C

the Planck constant,h=6.63×10–34J s unified atomic mass constant,u=1.66×10–27kg

=9.11×10–31kg

rest mass of electron,m

e

=1.67×10–27kg

rest mass of proton,m

p

molar gas constant,R=8.31 J K–1mol–1

=6.02×1023mol–1

the Avogadro constant,N

A

the Boltzmann constant,k=1.38×10–23J K–1 gravitational constant,G=6.67×10–11N m2kg–2 acceleration of free fall,g=9.81 m s–2

9702/2 M/J02

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Formulae

uniformly accelerated motion,s =ut +at 2

v 2=u 2+2as

work done on/by a gas,W =p ⌬V

gravitational potential,φ=–simple harmonic motion,a =– 2x

velocity of particle in s.h.m.,v =v 0cos t

v =± √(x 20–x 2)

resistors in series,R =R 1+R 2+. . .

resistors in parallel,1/R =1/R 1+1/R 2+. . .

electric potential,V =capacitors in series,1/C =1/C 1+1/C 2+. . .

capacitors in parallel,C =C 1+C 2+. . .

energy of charged capacitor,W =QV

alternating current/voltage,x =x 0sin t

hydrostatic pressure,p =q gh

pressure of an ideal gas,p =

radioactive decay,x =x 0exp(– t )

decay constant, =critical density of matter in the Universe,q 0=equation of continuity,Av =constant

Bernoulli equation (simplified),p 1+q v 21=p 2+q v 2

2Stokes’ law,F =Ar ␩v

Reynolds’ number,R e =drag force in turbulent flow,F =Br 2q v 2

q vr

␩3H 02

8␲G

0.693

t Nm V Q

4␲⑀0r

Gm

r

9702/2 M/J02

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9702/2 M/J02

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