The positron is the antiparticle of the electron, having exactly the same mass but opposite charge. When a positron and an electron meet, they annihilate, converting all of their mass into energy. Part (a) Find the energy, in joules, released in this interaction assuming neither particle has any kinetic energy before the collision. Part (b) If this energy is given to a proton in the form of kinetic energy, what is its resulting velocity as a fraction of the speed of light? You should assume the proton will be moving relativistically. Part (c) If this energy is given to another electron in the form of kinetic energy, what is its velocity as a fraction of the speed of light?

The positron is the antiparticle of the electron, having exactly the same mass but opposite charge. When a positron and an electron meet, they annihilate, converting all of their mass into energy. Part (a) Find the energy, in joules, released in this interaction assuming neither particle has any kinetic energy before the collision. Part (b) If this energy is given to a proton in the form of kinetic energy, what is its resulting velocity as a fraction of the speed of light? You should assume the proton will be moving relativistically. Part (c) If this energy is given to another electron in the form of kinetic energy, what is its velocity as a fraction of the speed of light?

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Question

The positron is the antiparticle of the electron, having exactly the same mass but opposite charge. When a positron and an electron meet, they annihilate, converting all of their mass into energy.

Part (a) Find the energy, in joules, released in this interaction assuming neither particle has any kinetic energy before the collision.

Part (b) If this energy is given to a proton in the form of kinetic energy, what is its resulting velocity as a fraction of the speed of light? You should assume the proton will be moving relativistically.

Part (c) If this energy is given to another electron in the form of kinetic energy, what is its velocity as a fraction of the speed of light?

Definition Definition Rate at which light travels, measured in a vacuum. The speed of light is a universal physical constant used in many areas of physics, most commonly denoted by the letter c . The value of the speed of light c = 299,792,458 m/s, but for most of the calculations, the value of the speed of light is approximated as c = 3 x 10 8 m/s.

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