In a particle accelerator, the particles in a beam of protons are traveling toward a target at a speed equal to \(0.100 c_{0}\). If the beam has a radius of \(0.100 \mu \mathrm{m}\) and carries a current of \(2.00 \mathrm{nA}\), how many protons strike the target in \(1.00 \mathrm{~s}\) ? Assume the target is large enough to intercept the entire beam.