Question

1: A photon of energy 90 MeV and one of 50 MeV move toward each other along the x-axis and collide.

Part A: What is the momentum of each photon? What is the total momentum of the system?

Part B: What is the resting mass energy of this system of two photons? (HINT: Use Invariant Mass.) Can this collision create a pion?

Answer #1

An electron and an antielectron (positron) each have a rest
energy of 0.511 MeV , or approximately 8.2×10-14 J .
When an electron and a positron are both stationary and located
next to each other during an annihilation process, their mass
energy converts to electromagnetic energy released as photons,
electromagnetic particles that have momentum but no mass and that
travel at the speed of light. What is the minimum number of photons
that could be released, and how much energy...

In a head-on collision of an electron of kinetic energy of 2.044
MeV with a positron at rest, the two particles are replaced by two
photons of equal energy. If each photon is traveling at an angles θ
with respect to the electron’s direction of motion, What is the
energy E, momentum p (you can leave the answer in terms of c) and
angle of θ of each photon? (For electron and positron mc2 = 0.511
MeV)

An electron and a positron are moving toward each other with
equal speeds of 3 x 106 m/s. The two particles
annihilate each other and produce two photons of equal energy.
(a) Do you need to use relativity for this
problem? Support your answer numerically, and comment
intelligently. (b) What were the deBroglie
wavelengths of the electron and positron? (c) Find
the energy of each photon. (d) Find the momentum
of each photon. (e) Find the wavelength of each
photon.

Collision
A muon and an antimuon are moving in opposite directions with
velocities of -0.7 c and 0.7 c, respectively. When they collide,
they can annihilate each other and turn into two identical photons.
Both muon and antimuon have a mass of 105.66
MeV/c2.
What is the total energy before the collision?
______???
What is the energy of each photon?
______???
What is the wavelength of each photon?
_____???

a) Two objects with the same mass move toward each other with
the same speed and experience a head-on elastic collision (angle =
180o). Will their final velocities be the same? Why?
b)Two objects moving toward each other (angle = 180o)
with different momentums produce an inelastic
collision. In what condition will both objects move to the left
after the collision.

Two particles are moving toward each other along the x axis with
equal speeds. Specifically, particle 1 of mass 7 kg moves to the
right at 3.87 m/s and particle 2 of mass 15 kg moves to the left at
the same speed. The particles collide elastically. After the
collision, the ﬁrst particle moves at 90◦ to its original direction
while the second particle is deﬂected through a smaller angle θ2
< 90◦.
A) Find the final speed of particle...

Two pieces of clay are moving directly toward each other. When
they collide, they stick together and move as one piece. One piece
having mass 300 300 g is moving to the right at a speed of 1 1 m/s.
The other piece has mass 600 600 g and is moving to the left at a
speed of 0.75 0.75 m/s.
a. Use momentum conservation to determine the velocity of the
combined clay piece after they collide. (Note: you can...

Two pieces of clay are moving directly toward each other. When
they collide, they stick together and move as one piece. One piece
has a mass of 332 grams and is moving to the right at a speed of
1.16 m/s. The other piece has mass 606 grams and is moving to the
left at a speed of 0.934 m/s.
What fraction of the total initial kinetic energy is lost during
the collision? In other words what is (KEi -...

In an experiment, two protons are shot directly toward each
other, each moving at half the speed of light relative to the
laboratory
Part D
What is the kinetic energy of each proton as measured by an
observer riding along with one of the protons? (answer in MeV)
Part F
What would be the answers to part (d) if we used only
nonrelativistic Newtonian mechanics? (answer in MeV)

Two objects move towards each other along a straight line and
collide inelastically. It is known that the ratio of their kinetic
energies is n. What should be the ratio of their massess fo the
objects to move after the collision in the direction of motion of
the object with the smallest kinetic energy?
Please explain solutions.

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