Final answer:
To find the magnitude of the proton's momentum, use the equation momentum = mass x velocity. Calculate the velocity of the proton using the formula velocity = 2πr / T. Once you have the velocity, calculate the magnitude of momentum using the equation mentioned.
Step-by-step explanation:
To find the magnitude of the momentum of a proton moving in a circle, we can use the equation:
Momentum = mass x velocity
The mass of a proton is approximately 1.67 x 10^-27 kg. Given that the proton moves in a circle of radius 20 cm (0.2 m) and the field magnitude is 0.005 T, we can determine the velocity of the proton using the formula:
velocity = 2πr / T
where T is the period of the circular motion.
Once we have the velocity, we can calculate the magnitude of momentum using the equation above.