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Hadiyana (obrolan | kontribusi)
3.120 suntingan
Kaca anyar: Dina fisika, '''laju''' atawa '''vélositi''' dinyatakeun salaku tingkat robahan posisi. Dina sistem ukuran SI, hal ieu diukur maké hijian ...
 
Hadiyana (obrolan | kontribusi)
3.120 suntingan
→‎Equation of motion: nuluykeun hanca
Baris ka-7:
{{tarjamahkeun|en}}
 
==EquationPersamaan of motiongerak==
{{mainutama|EquationPersamaan of motiongerak}}
 
TheVéktor instantlaju velocityinstan vector(sakiceup) '''<math>\, v</math>''' ofti anhiji objectbarang that(obyék) nu hasboga positionsposisi ''<math>\, x(t)</math>'' atdina timewaktu '''<math>\, t</math>''' andjeung ''<math>\, x(t + {\Delta t})</math>'' atdina timewaktu ''<math>\, t +{\Delta t}</math>'', can be computedbisa asdiitung thesalaku [[derivativederivasi]] oftina positionposisi:
:<math>\, \mathbf{v} = \lim_{\Delta t \to 0}{{\mathbf{x}(t+\Delta t)-\mathbf{x}(t)} \over \Delta t}={\mathrm{d}\mathbf{x} \over \mathrm{d}t}</math>
 
ThePersamaan equationpikeun forlaju anobyék object'skasebut velocitybisa candihasilkeun besacara obtainedmatematis mathematicallyku bycara evaluating thengitung [[integral]] ofti thepersamaan equationkasebut forlantaran itsakselerasina accelerationdimimitian beginningti fromsawatara somewaktu initialperiode period timeawal ''<math>\, t_0 </math>'' to someka pointsawatara intitik timewaktu latersatuluyna ''<math>\, t_n</math>''.
 
TheLaju final velocityahir '''v''' ofti anhiji objectobyék whichnu startsmitembeyan withdina velocitylaju '''u''' andjeung thenngagancangan acceleratesdina at constant acceleration[[akselerasi]] '''a''' fornu atetep pikeun periodsuatu ofperiode timewaktu <math>\, ( \Delta t)</math> isnyata:
 
:<math>\mathbf{v} = \mathbf{u} + \mathbf{a} \Delta t </math>
 
TheLaju averagerata-rata velocityhiji ofobyék ananu object undergoing constantngarandapan [[accelerationakselerasi]] iskonstan nyaéta <math>\begin{matrix} \frac {(\mathbf{u} + \mathbf{v})}{2} \; \end{matrix}</math>, wheredimana '''u''' isnyaéta thelaju initialawal velocity andsarta '''v''' is thenyaéta finallaju velocityahir. ToPikeun findnimukeun thejarak displacementkapindahan, '''x''', ofti suchobyék ananu acceleratingngagancangan objectsaperti duringkitu asalila timehiji interval waktu, <math>\Delta t</math>, thenmangka:
 
:<math> \Delta \mathbf{x} = \frac {( \mathbf{u} + \mathbf{v} )}{2}\Delta t</math>
 
Lamun ngan laju awal obyék anu dipikanyaho, mangka persamaan:
When only the object's initial velocity is known, the expression,
 
:<math> \Delta \mathbf{x} = \mathbf{u} \Delta t + \frac{1}{2}\mathbf{a} \Delta t^2,</math>
 
canbisa be useddipaké.
 
Persamaan ieu bisa dijembarkeun pikeun nimukeun posisi dina waktu t ku cara:
This can be expanded to give the position at any time t in the following way:
 
:<math> \mathbf{x}(t) = \mathbf{x}(0) + \Delta \mathbf{x} = \mathbf{x}(0) + \mathbf{u} \Delta t + \frac{1}{2}\mathbf{a} \Delta t^2,</math>
 
PErsamaan dasar pikeun laju jeung kapindahan ieu bisa digabungkeun pikeun ngawangun hiji persamaan anu henteu gumantung kana waktu, anu dipikawanoh salaku [[persamaan Torricelli]]:
These basic equations for final velocity and displacement can be combined to form an equation that is independent of time, also known as [[Torricelli's equation]]:
 
:<math>v^2 = u^2 + 2a\Delta x.\,</math>
 
Persamaan di luhur lumaku pikeun [[mékanika Newtonian]] ogé [[rélativitas husus]].
The above equations are valid for both [[Newtonian mechanics]] and [[special relativity]]. Where Newtonian mechanics and special relativity differ is in how different observers would describe the same situation. In particular, in Newtonian mechanics, all observers agree on the value of ''t'' and the transformation rules for position create a situation in which all non-accelerating observers would describe the acceleration of an object with the same values. Neither is true for special relativity. In other words only [[relative velocity]] can be calculated.
 
InDina mékanika Newtonian mechanics, the [[kineticénergi energykinétik]] ([[energyénergi]] of motiongerak), <math>\, E_{K}</math>, ofhiji aobyék movingnu objectgerak isnyaéta linearliniér with both itsjeung [[massmassa]] and the square ofsarta itskuadrat velocitylajuna:
 
:<math>E_{K} = \begin{matrix} \frac{1}{2} \end{matrix} mv^2.</math>
 
Énergi kinétik mangrupakeun kuantitas [[skalar (fisika)|skalar]].
The kinetic energy is a [[scalar (physics)|scalar]] quantity.
 
''[[Laju leupas]]'' mangrupakeun laju minimum anu kudu dipiboga ku hiji barang pikeun leupas ti médan [[gravitasi]] bumi. Pikeun leupas ti médan [[gravitasi]] bumi, hiji obyék kudu boga énergi kinétik nu leuwih gedé batan énergi potensial gravitasina. Harga laju leupas ti bumi kira-kira 11100 m/s.
''[[Escape velocity]]'' is the minimum velocity a body must have in order to escape from the gravitational field of the earth.
To escape from the earth's gravitational field an object must have greater kinetic energy than its gravitational potential energy. The value of the escape velocity from Earth is approximately 11100 m/s
 
==Relative velocity==
Dicomot ti "https://su.wikipedia.org/wiki/Laju"