3) The earth is constantly bombarded by cosmic rays, which are charged particles

Question

3) The earth is constantly bombarded by cosmic rays, which are charged particles from outer space. Find the force on one such cosmic ray-a proton that is instantaneously moving vertically downward at 1.00 x 10^7 m/s at a point outside the atmosphere over New York, where the magnetic field dips 74 degrees below the horizontal and has a horizontal component of 1.70 x 10^-5 T.

The earth is constantly bombarded by cosmic rays, which are charged particles from outer space. Find the force on one such cosmic ray-a proton that is instantaneously moving vertically downward at 1.00 x 10^7 m/s at a point outside the atmosphere over New York, where the magnetic field dips 74 degree s below the horizontal and has a horizontal component of 1.70 x 10^-5 T.

Explanation / Answer

F = qV(cross)B = qVBsin(theta) , theta = (90 - 74) = 16 degrees

Hence

F = (1.6 * 10^-19 * 1 * 10^7 * 1.7 * 10^-5 * sin(16 degrees)) = 7.5 * 10^-18 N

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