1995B7. A uniform magnetic field of magnitude B=1.2 teslas is directed toward the bottom of the page in the -y direction, as shown above. At time t=0, a proton p in the field is moving in the plane of the page with a speed vo=4×107 meters per second in a direction 30∘ above the +x axis.
a. Calculate the magnetic force on the proton at t=0.
b. With reference to the coordinate system shown above on the right, state the direction of the force on the proton at t=0.
c. How much work will the magnetic field do on the proton during the interval from t=0 to t=0.5 second?
d. Describe (but do not calculate) the path of the proton in the field.