Go to this simulation of a particle moving in a magnetic field. Set the simulation to these initial settings: mass = 6e-25 kg, velocity = 5e6 m/s, charge = 3e-16 C, B = 3 T. And select the box for 'Show Radius.' Run the simulation and observe the track. Clear the track; reset.

1. Predict what will happen to the radius of the charge's path if the B field is doubled from the initial setting. Run the sim to check your prediction.

2. Predict what will happen to the radius of the charge's path if the x-velocity is doubled from the initial setting. Run the sim to check your prediction.

3. Predict what will happen to the radius of the charge's path if the B field and the x-velocity are both doubled from the initial setting. Run the sim to check your prediction.

4. The period is the time the charge takes to complete one full circle. Assuming the B field spans the entire region, how would the period change if the initial speed were doubled?