Part A  

If the two protons and the are all at rest after the collision, find the initial speed of the protons. Express your answer as a fraction of the speed of light to three significant figures.
Express your answer in millions of electron volts to three significant figures.
Express your answer in millions of electron volts to three significant figures.
Notice that the rest energy of the is equal to the total kinetic energy of the two protons, as expected from the conservation of energy. 
Sunday, January 30, 2011
Mastering Physics: ± Creating a Particle
Two protons (each with rest mass ) are initially moving with equal speeds in opposite directions. The protons continue to exist after a collision that produces an particle. The rest mass of the is .
Mastering Physics: Work Required to Accelerate Relativistic Particles
Part A  

How much work must be done on a particle with a mass of to accelerate it from rest to a speed of Express your answer as a multiple of to three significant figures.
Express your answer as a multiple of to three significant figures.

Mastering Physics: Relativistic Energy and Momentum
Learning Goal: 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.
Part A  

Find the momentum , in the laboratory frame of reference, of a proton moving with a speed of 0.899 . Use for the mass of a proton. Express your answer in to three significant figures.

Part B  

Find the total energy of this proton in the laboratory frame. Express your answer in millions of electron volts to three significant figures.

Part C  

What is the value of the expression for this proton? Express your answer in millions of electron volts squared to three significant figures.
The answer to this part is numerically equal to the rest mass of the proton squared. In fact, this result points to a very important equation in relativistic physics: . This formula indicates an equivalence between mass and energy, which was first realized by Albert Einstein.
Express your answer in to one decimal place.
Thus, if a particle moves at the speed of light, it must have no rest mass. Usually this fact is stated somewhat differently: Massless particles always move at the speed of light. Can you think of an example of such particles? 
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