1. The problem statement, all variables and given/known data Prove that the energy of a cyclotron can be expressed as: E (MeV) = 4.8e-3 (B * R * q)2/A Where B is the magnetic field in Tesla R is the maximum radius of the cyclotron in cm. q is the charge of the particle accelerated. A - is the mass number. We can ignore relativistic effects. 2. Relevant equations T = 1/2 mv2 F = mv2/R = qvB. Solve for v and plug in to kinetic energy formula T v = qBR/m 3. The attempt at a solution We can plug in v into T to get kinetic energy expressed in q, B, R, and m: T = 1/2 * (qBR)2/m Now, need to express m in terms of mass number. We know that N (the number of particles) = 6.02e23 (particles/mole)/A(g/mole) * m Let N = 1 since we're only interested in what the energy of a particle in the cyclotron. Solving for m: m = A / 6.02e23. Plugging in m in equation for T: T = 1/2 * (qBR)2 * 6.02e23/A Now we need to add conversion factors for getting A from g/mole to kg/mole. Also need to convert from Joules to MeV. Finally need to get R from meters to cm. This gives me: T = 1/2 * (qBR)2 * 6.02e23/A * 1000g/kg * (100 cm/1m)2 * 1.6e-13 MeV/J This gives me 4.816e17 MeV - which is not correct. In order to get R in cm, should I convert to cgs units first? If so, then I need to convert the magnetic field from Guass to Tesla. Thanks for you help.