• A neutral K meson (mass 497.7 MeV/c2 ) is moving with a
kinetic energy of 77.0 MeV. It decays into a pi meson (mass 139.6
MeV/c2 ) and another particle of unknown mass. The pi meson is
moving in the direction of the original K meson with a momentum of
381.6 MeV/c.
i. Find the momentum and total relativistic energy of the
unknown particle.
ii. By finding the mass of the unknown particle show that the
unknown particle is...
Problem 1: The energy E of a particle of mass m moving at speed
v is given by: E2 = m2 c4 + p2 c2 (1) p=γmv (2) 1 γ = 1−v2/c2 (3)
This means that if something is at rest, it’s energy is mc2. We can
define a kinetic energy to be the difference between the total
energy of an object given by equation (1) and the rest energy mc2.
What would be the kinetic energy of a baseball...
A proton moving at 40 m/s due East collides with another proton
at rest. Assume the collision is elastic and glancing. After the
collision, one proton moves 30◦ south of East. Find the magnitude
an direction of the other proton after the glancing collision
A proton moving at 40 m/s due East collides with another proton
at rest. Assume the collision is elastic and glancing. After the
collision, one proton moves 30◦ south of East. Find the magnitude
an direction of the other proton after the glancing collision
In S, a moving proton has an energy of 4 GeV.
S' is moving parallel to the proton with a speed of
0.8c.
Find the kinetic energy in each frame using
four-vectors.
Find the kinetic energy in each frame without
four-vectors.
A particle with mass m and energy E is moving in one-dimension
from right to legt. It is incident on the step potential V(x)=0 for
x<0 nd V(x)=V0 for x>0 where E>V0>0. Find the
reflection coefficient R in terms of m,E and V0, and h-bar.
Antiproton of kinetic energy E_k collides (bumps) with a proton
at rest. How much energy is available for the production of new
particles that have a mass.
relativistic calculation is needed and a must!
5. What fraction of rest mass energy is converted from potential
energy to kinetic energy when a particle comes from infinity to the
event horizon of a black hole?