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เผบยซ๐•Š๐•†๐•„๐”ผ ๐•€๐•„โ„™๐•†โ„๐•‹๐”ธโ„•๐•‹ ๐”ฝ๐•†โ„๐•„๐•Œ๐•ƒ๐”ธ๐•Š ๐•†๐”ฝ โ„™โ„๐•๐•Š๐•€โ„‚๐•Š ยปเผป


1. Formulas related to force:

F = ma
F = kx
F = m(vfยฒ - viยฒ/2S)
F = mv/t
F = md/tยฒ
F = m(vf - vi)/t
F = Area ร— density ร— velocityยฒ
F = 1/2 mvยฒ/d
F = 1/2 Pv/d
F = Power/velocity
Fc = mvยฒ/r
Fc = mrwยฒ
Fc/2 = mvยฒ/2r
Fc = 2K.E/r
F = Area ร— Stress
F = pirยฒ ร— stress
F = YA ร— Strain
F = YAl/L
F = pressure ร— area
F = change in momentum ร— time interval
F = - 2mVx ร— Vx/2l
F2 = F1/A1 ร— A2
F = qE
F = kQ/rยฒ
F = ILB sintheta
F = q (v ร— B)
F = qE + q(v ร— B)

2. Formulas related to energy and work

Fd = k.e
mgh = 1/2 mvยฒ
E = 1/2 kxยฒ
E = Ve
E = nhf
E = nhc/lambda
E = Pc
K.e = hf - work function = hf - hfยฐ = hf - hc/wยฐ (here wยฐ is cutt off wavelength)
E = 1/2 Pv
mvยฒ/2r= Fc/2
K.E/r = Fc/2
K.E = Fcร—r/2
K.e = 1.5 KT
E = VQ
E = Power ร— time
E = Fvt
% loss in K.e = v1ยฒ - v2ยฒ/v1ยฒ ร— 100
% loss in P.e = h1ยฒ - hยฒ/h1ยฒ ร— 100
Energy lost due to air friction(Fh) = 1/2mvยฒ - mgh (when body is thrown upward)
Energy lost due to air friction(FS) = mgh - 1/2mvยฒ (when body is thrown downward)
E = 1/2 CVยฒ (capacitor)
E = R ร— hc (R is Rydberg' constant)
J = m-ยน ร— Js ms-ยนk
hf kalpha x rays = EL - Ek
hf kbeta x rays = EM - Ek
Binding energy = mass defect ร— cยฒ
W = Fd Costheta
W = nmgh (when person is climbing stairs)
W = n(m+m) gh (when person is climbing stairs with some load)
W = 0mgh + 1mgh + 2mgh + 3mgh ....... (in case of stacking bricks. For ist brick h=0. For 2nd brick h=1. For 3rd brick h=2 and so on)
W = Fd = PA ร— change in V
W = Q - change in U
Q = mc ร— change in T
T/273.16 = Q/Q3 (Thermodynamic scale)
W = IยฒRt
W = emfร—charge
W = VQ
W = 1/2 lF
W = YAlยฒ/2L
W = StressAlยฒ/2Strain
W = PressureAlยฒ/2Strain
W = Flยฒ/2Strain


3. Formulas related to Power

P = Fv
P = E/t
P = n(mgh/t)
P = Fd/t
P = mvยฒ/2t

4. Formulas related to distance, displacement, velocity and accelration

d = vt
d = atยฒ
d = (vf + vi/2) ร—t
d = 5tยฒ (for distance in 'n' seconds)
d = 5(2tn - 1) (for distance in 'nth' second)
d = 1/2 mvยฒ/F
d = vit + 5tยฒ
d = v ร— underroot 2H/g
d = vt = xยฐwt = xยฐ2pi/T ร— t = xยฐ2pift
x = xยฐ Sin wt
x = xยฐ Sin (underroot k/m) t
vf = vi + at
2as = vfยฒ - viยฒ
2as = (vi + at)ยฒ - viยฒ
2as = vfยฒ - (vf - at) ยฒ
v = underroot Vfxยฒ + Vfyยฒ
v = Power/Force
v = 2ร—K.E/momentum (k.e = 1/2 Pv)
vยฒ = 2ร—Powerร—time/mass (P = mvยฒ/2t)
v = underroot 2as
v = underroot gr (speed at highest point in a verticle circle)
v = underroot 5gr (speed at lowest point in a verticle circle)
vยฒ = 2FS/m
vยฒ = 2E/m
vยฒ = 2Ve/m
v = eBr/m (velocity of particle under action of magnetic force along circular path)
vยฒ = Force/Area.Density
v = w underroot xยฐยฒ - xยฒ
v = underroot k/m ร— underroot xยฐยฒ - xยฒ
v = xยฐw (at mean position where x=0)
v = xยฐ underoot k/m
v = vยฐ underroot 1 - xยฒ/xยฐยฒ (for determining ratio b/w inst. Velocity and maxi. Velocity)
v= xยฐ2pif = xยฐ2pi/T
a = xยฐwยฒ = xยฐw.w = vw = v.2pif
Common velocity = m1v1/m1+m2
viยฒ = Rg/Sin2theta
v = underoot Tensionร—length/mass
V = 2pi keยฒ/nh (speed of e- in nth orbit)
Vn = V/n
v = nh/2pimr (lambda = 2pir and lambda=h/p)
ma = kx
a = kx/m (SHM)
a = - gx/l (Simple pendulum)
ac = vยฒ/r

5. Formulas related to wavelength 'w'

w = v/f
w = 1/wave number
w1 = 2l (when pipe is opened at both ends)
w1 = 4l
to be continued........


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