Physics 11 Formula Sheet l2ch

Physics 11 Formula Sheet (V5)

Trigonometry

c hyp θ

Vectors

b opp    h + c = t (boats )    h + w = t (airplanes )

a adj

a 2 + b 2 = c2

opp hyp adj cos θ = hyp opp tan θ = adj

sin θ =

Funb m a = − µg (slide to stop) W = mg = Fg µ=

Constant Velocity ∆d d f − d i v= = ∆t t f − ti

FN

Fg =

Gm1 m2 r

2

Energy/Power P=

v t Constant Acceleration 1 d = at 2 (from rest) 2 1 d = vi t + at 2 2  vi + v f  d = t  2 

vf = vi + at vi + v f 2

W t

=

1 E k = mv 2 2 E p = mgh

E h = mc ∆T

Ee = P ⋅ t

% eff =

d f − di

p = mv

t f − ti

pi = pf

∆v v f − v i = ∆t t f − ti

L = L0 1 −

m=

energy output ×100% energy input

I = Ft = ∆p

1−

Light/Optics nλ = dsinθ N sin i = 2 sin r N 1 N sin c = 2 N1 sin i λ1 v 1 N 2 = = = sin r λ 2 v 2 N 1 Circles Circumference = 2πr r

Area = πr2

Constants g = 9.8 m/s2 c = 3.00 x 108 m/s G = 6.67 x 10-11 Nm2/kg2 π = 3.14 Quadratic Formula if ax2 + bx + c = 0 2 then: x = −b ± b − 4ac

2a

Percent Error

Prefixes

%diff = diff/average x 100%

Wave Motion

%error = diff/true x 100%

v = fλ

centi (c) milli (m) micro (µ) nano (n) pico (p) kilo (k) mega (M) giga (G)

1 f

v2 c2

E = mc2

p f = pi + I

T =

v2 c2

m0

W = ∆E

Momentum

2 i

v = v + 2ad

a=

Ff

W = Fd

d

v av =

Newton’s Laws a=

1 area = ab 2

2 f

Special Relativity t0 t= v2 1− 2 c

= = = = = = = =

10-2 10-3 10-6 10-9 10-12 103 106 109