A beam of protons (proton mass is 1.67 x 10 - 27 kg) moves at 3 x 10 5 m/s through a uniform magnetic field with magnitude 2 T. The magnetic field has exactly equal components along the positive y and negative x axes and no component along the z axis. The velocity of each proton lies in the xz- plane at an angle of 30 0 to the z- axis.
(a) Write the magnetic field B and the velocity v of the proton in terms of their components using unit vectors i, j & k.
(b) What is the ‘magnetic force’ experienced by each proton, expressed as a vector using unit vectors i, j & k?
(c) What are the magnitude and direction of the proton’s acceleration expressed as a vector using unit vectors i, j & k?
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