Physics derivations

Helpfulness: 0
Set Details Share
created 2 months ago by Pauricleech
All derivations required for Physics leaving certificate, only an indicator is given that should be all one needs, the rest is algebra.
show moreless
Page to share:
Embed this setcancel
code changes based on your size selection

v = u + at

a = v-u/t, rearrange this.


s = ut + 1/2at^2

Average velocity = initial + final velocity/2 ... u + v / 2

v = u+ at

u + u + at/2

(u + u + at/2) (t) = s


V^2 = U^2 + 2as

We know v = u + at... Square both sides then factorise out 2a,

then sub s = u+1/2at^2


F = ma is a special case of Newtons second law

Force is proportional to the rate of change of momentum

F <( (Change of momentum/time, turn that into acceleration

F <( ma

F = k(ma) ...k = 1

F = ma


v = rω

We define Theta (radians) as (length of the arc) / radius : 0 = s/r
Divide both sides by t, 0/t = s/tr
But ω = 0/t and v = s/t… ω = v/r
Cross multiply, v = rω


Relationship between periodic time and radius for a satellite in orbit

card image

To show that any object that obeys hookes law will also execute simple harmonic motion

Hooke’s law: F <( -s F = -k s
But F = ma, therefore ma = -k s
divide both sides by m : a = (-k/m)s …. This is an equivalent to the equation for S.H.M


Diffraction grating formula: n = d Sin

Draw a diagram of the diffraction grating
From it we can see that for constructive interference to occur, the extra path length that the top ray travels must be an integer number of wavelengths, i.e (n)
Using trigonometry, this extra path length is equal to dsin0, where d is the slit width


Derive an expression for the effective resistance of the two resistors connected in series.

Effective resistance = R1 + R2
Apply Ohm’s law to each resistor:
V1 = I(R1)
V2 = I(R2)
Since the voltages are in series :
Voltage total = V1 + V2


Derive an expression for the effective resistance of the two resistors connected in parallel

1/Rtotal = 1/R1 + 1/R2
Apply Ohms law to each resistor
V/Rtotal = V/R1 + V/R2, divide across by V for the equation


Force on a moving charge, F = Bqv

Draw a diagram of a conductor of length L
If q is the charge which carries the current in this section of the conductor, then I = q/t., the average velocity with which the charge flows is given by v = l/t
Substituting into the primary equation we have for force, we get
F = B x q/t x vt

Related pages

aabbcc aabbccwhich of the following is a loose connective tissuecardiac intrinsic conduction systemwbc averageperiod of convalescenceriedel lobe liver symptomsmcdonalds distribution channelkidney anatomical positionwhat does citric acid cycle producedigestive epitheliumhousing construction cost variables excelright av valve functionmedical terminology chapter 6 answersmedical terminology quizcharacteristics of lifespan perspectivewhat is the role of the chordae tendineaecod ghost gunswhat is the difference between exotoxins and endotoxinsbeijing rules juvenile justicethe articles of confederation left congress unable towhat are nadh and fadh2how many chromosomes in a human gametelocation of cardiac sphincterhow many valence electrons are in fluorineinnate defense systemstates and capitals quiz by regionhow did louis braille become blindskin puncture proceduresterilizing agentswhat is cl2oarchaea kingdom exampleswhich events occur during prophasewhy are veins called blood reservoirsneon element chemical propertieswhat cranial nerve controls swallowingmedical terminology printable flash cardsthe simple money multiplier equalscholecystitis diagnosis codeosteoblast locationchapter 10 catcher in the ryethe process of depositing calcium into a tissue is calledsite of mental foramenanterior horn of lateral ventricledefine metabolizeddescribe the cerebrumsteroid and peptide hormones typically have in commonp aeruginosa colony morphologywhich antimicrobial protein is produced by a virus infected cellto kill a mockingbird test review answershuman anatomy and physiology laboratory manual 10th edition answershesi review bookssalt apushdifferential agarblood volume restorers include all of the following exceptduodenum pancreastranslation gtpdiagram foot bonestrachea openinghomeostasis definition anatomywhere are bursae foundtorts flashcardshuman kidney anatomy and physiologydesert biome abiotic factorswho first fights macbethantihistamine treatment reduces4th grade geometry vocabularywhat are nadh and fadh2xiphoid process breakhow many chromosomes will be in each daughter celldo plant and animal cells have cell membraneswhat is the average temperature in a deciduous forestcollenchyma cells functionname of muscle in forearmlawrence douglas wilderrenal tubule diagramdefine coniferophyta1.37 inches to fractionthe bicuspid mitral valve is located between theantibody monomerstages of the ovarian cycle