An experimental form of cancer therapy involves the use of a beam of highly ionized carbon atoms with a charge of +6e (all six electrons have been removed). The mass of the ions is 11.172 GeVlc². If the accelerator is 7.50 m long and the ions are accelerated through a 125-MV potential difference, what are (a) the ion's kinetic energy, (b) the speed of the ions as measured in the lab frame, and (c) the length of the accelerator in the reference frame of the ions?

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An experimental form of cancer therapy involves the
use of a beam of highly ionized carbon atoms with a
charge of +6e (all six electrons have been
removed). The mass of the ions is 11.172 GeV/c?. If
the accelerator is 7.50 m long and the ions are
accelerated through a 125-MV potential difference,
what are (a) the ion's kinetic energy, (b) the speed
of the ions as measured in the lab frame, and (c) the
length of the accelerator in the reference frame of
the ions?
Transcribed Image Text:An experimental form of cancer therapy involves the use of a beam of highly ionized carbon atoms with a charge of +6e (all six electrons have been removed). The mass of the ions is 11.172 GeV/c?. If the accelerator is 7.50 m long and the ions are accelerated through a 125-MV potential difference, what are (a) the ion's kinetic energy, (b) the speed of the ions as measured in the lab frame, and (c) the length of the accelerator in the reference frame of the ions?
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