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a particle of mass 12 mevc2 has a kinetic energy of 1 mev what are its momentum in mevc and its speed in units of
a use the results of problem 1569 to prove that for any number of material particles there exists a cm frame that is a
since the four-velocity u gamma v c is a four-vector its transformation properties are simple write down the standard
a show that the four-momentum of any material particle m gt 0 is forward time-likeb show that the sum of any two
a what is a particleamp39s speed if its kinetic energy t is equal to its rest energyb what if its energy e is equal to
a particle of mass ma decays at rest into two identical particles each of mass mb use conservation of momentum and
a suppose that the total three-momentum p of an isolated system is conserved in all inertial frames show that if this
a what is a mass of 1 mevc2 in kilogramsb what is a momentum of 1 mevc in
in nonrelativistic mechanics the energy contains an arbitrary additive constant - no physics is changed by the
two balls of equal masses m each approach one another head-on with equal but opposite velocities of magnitude 08c their
figure 1615 is an end view of a triangular prism whose three faces are labeled by the vectors da1 etc the magnitude of
a crucial step in showing that the waves in a fluid are necessarily longitudinal was the integral in 16142 for an
write down the equation of motion 16124 as applied to a static fluid assuming that g is uniform and is constant
show that the intensity i of a sound wave is proportional to the square of the pressure increment pamp39 to do this
the factor gamma in the doppler formula 1564 which can be ascribed to time dilation means that even when theta 90deg
a seismograph records the signals arriving from a distant earthquake if the s waves arrive 12 minutes after the p waves
an important tool in the development of the strain tensor was the decomposition 1679 of a matrix m into its
show that if the stress tensor sigma is diagonal all off-diagonal elements zero with respect to any choice of
at any given point p of a continuous medium the surface forces are given by the stress tensor which is a real symmetric
it is found that the stress tensor at any point x y z in a certain continuous medium has the form with an unspecified
the table below gives the three elastic moduli for several materials according to 16100 youngamp39s modulus for any
computer make plots of the two triangular waves of example 161 page 686 at several closely spaced times and then
computer make plots similar to figure 165 of the standing wave 1618 for several equally spaced times from t 0 to tau
in connection with equation 1631 i claimed that any function on the interval 0 lex lel can be expanded in a fourier
computer a taut string of length l 1 is released from rest at t 0 with initial positiontake the wave speed on the