To learn to calculate energy and momentum for relativistic particles and, from the relativistic equations, to find relations between a particle's energy and its momentum through its mass.
The relativistic momentum p⃗ and energy E of a particle with mass m moving with velocity v⃗ are given by
p⃗ =mv⃗ 1−v2c2−−−−−√p→=mv→1−v2c2
and
E=mc21−v2c2−−−−−√.
Part A
Find the momentum p, in the laboratory frame of reference, of a proton moving with a speed of 0.801 c . Use 938MeV/c2 for the mass of a proton.
Express your answer in MeV/c to three significant figures.
Part B
Find the total energy E of this proton in the laboratory frame.
Express your answer in millions of electron volts to three significant figures.
Part D
What is the rest mass mmm of a particle traveling with the speed of light in the laboratory frame.
Express your answer in MeV/c2 to one decimal place.
