(a) Viewers of Star Trek have heard of an antimatter drive on the Starship
Enterprise. One possibility for such a futuristic energy source is to store
antimatter charged particles in a vacuum chamber, circulating in a magnetic
field, and then extract them as needed. Antimatter annihilates normal matter,
producing pure energy. What strength magnetic field is needed to hold
antiprotons, moving at \(5.0 \times 10^{7} \mathrm{m} / \mathrm{s}\) in a
circular path \(2.00 \mathrm{m}\) in radius? Antiprotons have the same mass as
protons but the opposite (negative) charge. (b) Is this field strength
obtainable with today's technology or is it a futuristic possibility?