A Van de Graaff accelerator utilizes a 50.0 MV potential difference to accelerate charged particles such as protons. The kinetic energy provided by such a large potential difference is sufficiently great that relativistic effects need to be taken into account when finding the velocity of accelerated particles.
What is the velocity of a proton accelerated by such a potential?
What is the velocity of an electron accelerated by such a potential?
A -meson has a rest mass of 135 MeV. The proper lifetime of the -meson is s and an observer in a laboratory measures its lifetime as s. What is the kinetic energy of the -meson as measured by the observer?
K mesons have an average lifetime in their rest frame of s. Plans for an accelerator that produces a secondary beam of K mesons to scatter from nuclei, for the purpose of studying the strong force, call for them to have a kinetic energy of 500 MeV.
What would the relativistic quantity be for these particles?
What would be the average lifetime of these particles, as measured by a laboratory based observer?
How far would these particles travel during their average lifetime, as measured by a laboratory based observer?