have the same velocity after the collision, the kinetic energy required for this process is a
minimum. Use a relativistic calculation to show that KE
min
= 6mc
2
, where m is the rest mass
of the electron.
Energy and Momentum
16.
What is the energy of a photon whose momentum is the same as that of a proton whose
kinetic energy is 10.0 MeV?
17.
Find the momentum (in MeV/c) of an electron whose speed is 0.600c.
18.
Find the total energy and kinetic energy (in GeV) and the momentum (in GeV/c) of a proton
whose speed is 0.900c. The mass of the proton is 0.938 GeV/c
2
.
19.
Verify that
࠵?
/
࠵?
=
࠵?࠵?
/
࠵?
.
20.
Find the speed and momentum (in GeV/c) of a proton whose total energy is 3.500 GeV.

3/3
21.
Find the total energy of a neutron (m = 0.940 GeV/c
2
) whose momentum is 1.200 GeV/c.
22.
A particle has a kinetic energy of 62 MeV and a momentum of 335 MeV/c. Find its mass (in
MeV/c
2
) and speed (as a fraction of c).
23.
a.
Find the mass (in GeV/c
2
) of a particle whose total energy is 4.00 GeV and whose
momentum is 1.45 GeV/c.
b.
Find the total energy of this particle in a reference frame in which its momentum
is 2.00 GeV/c.

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- Summer '19
- Kinetic Energy, Mass, Special Relativity, Lorentz Transformation