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Physics 109

Final Examination Equations

Kinematics

v= v0+ at x= v0t +1

2at2 vx2 =v0x

2 + 2ax(x)

vy2 =v0y2 + 2ay(y) x=

1

2(v0+ v) t

Dynamics, Energy and Momentum

Gravitational acceleration near the surface of the Earth: g= 9.80 m/s2.

n

i=1

Fi= maFG

=GmM

r2G= 6.67 1011 N m2/kg2

g= GM

R2

W =mg

fs max =s

FN

fk =k

FN I= Ft= p K=

1

2mv2

FHooke =kx W =

Fd cos = K Emech= K+ P E

Wcons= P E Wnc= P E+ K P = Wt

=Fv

P EHooke=1

2kx2 P EG= mgh p= mv

1

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Rotational Motion and Equilibrium

= limt

0

t = lim

t

0

t

= sr

= vr

at=r

=

t =

t

= 0+ 0t + 1

2t2 =0+ t =

+ 02

ac=v2

r

FC =mac

= 2f f= 1

T=

F r sin =

=I

KE= 12

I2 L= I F= 0

= 0

Geometric Optics

R = I n1sin 1= n2sin 2 n= c

v

f=r

2

1

p+

1

q =

1

f m=

h

h = q

p

2

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7/25/2019 109 Formula Sheet 2

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7/25/2019 109 Formula Sheet 2

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Useful Mathematics

A= r2

area of a circlex=

b

b2 4ac2a

quadratic formula

A= 4r2SOHCAHTOA

a= c sin = c cos b= c cos = c sin a

b= tan = cot

c2 =a2 + b2

+ = 90

ax2 + bx + c= 0 x1,2=b

b2 4ac

2a

3