what are physical quantities?
measurable observables,
when measured, has magnitude and reference units.
what are base quantities?
fundamental quantities, cant be expressed by other base quantities
what are derived quantities
can be described by base quantities, product of powers
some quantities are CONSERVED through…
symmetries.
what is symmetry
operations on a system that will ultimately leave it unchanged
name three examples of conserved quantities
-when moving an origin (translation in space)-> momentum is conserved
-time, with the conserved quantity associated being energy
-rotation in space, conserved quantity is angular momentum
what is Noethers theorem?
any time symmetry is observed, there must be a conserved quantity associated
elastic collisions, light projectile with a heavy target
projectile: KE is almost the same, the velocity vector is in the opposite direction
for the projectile: V1 F =(approx) V 1i
for the target: V2F =/ 0
because of recoil. recoil energy is equal to the energy lost by the projectile
elastic collisions, head on collision of equal masses. m1=m2
(stationary target)
V1f= 0
V2f = V1i
elastic collisions, heavy projectile, light target
V1F=V1i
V2F= 2V1i
KE is almost the same
projectile keeps moving
projectile always loses small amount of E to the target
what is reference frame?
a set of axes, that you establish, where you measure time.
used to define the space around in Cartesian (x, y, z )
What is the inertial reference frame?
has constant velocity, non accelerated
and no external forces
what are two factors to consider in relativistic speeds?
time dilation and length contraction
what is time dilation?
how the observer measures time of an object
the time interval in the moving frame is longer than in the rest frame
the observer will perceive the moving reference as being slower.
what is length contraction?
observer measures length, but the moving object experiences length contraction because of how fast its traveling
at faster speeds, objects and distances appear shorter- meaning only the observer of the moving object can calculate proper length, through their rest frame.
when are proper quantities measured? (time and length)
in your rest frame where velocity = 0
a moving particle’s proper time can only be measured…
in that particle’s reference frame
symmetric wave functions
obeys Bose Einstein
Bosons. (ex: photons) which are mediator particles for force and interactions
integer spin
does not obey Pauli Exclusion
antisymmetric wave functions
half integer spins
Fermi-Dirac
Fermions (neutrons, protons, electrons)
obeys Pauli exclusion
what are the 4 interactions in nature, in order of most to least magnitude
strong
electromagnetic
weak
gravitational
translation in time is…
energy conservation
translation in space is…
momentum conservation
rotation in space is…
angular momentum conservation
Prob / expectation value of finding an object
Answer