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12. By 1905, a locomotive powered by an electric motor (which was in turn powere

ID: 1875302 • Letter: 1

Question

12. By 1905, a locomotive powered by an electric motor (which was in turn powered by an internal-combustion engine) cruised between the East Coast and West Coast. Suppose a particle with a charge of 88 x 10-9 C moves at the same speed as the locomotive in a 0.32 T magnetic field. If the magnetic force on the particle is 1.25 x 10- N, what is the particle's (and locomotive's) speed? 13. NASA plans a shuttle launch system, called Maglifter, that would speed up the spacecraft using superconducting magnets. A space shuttle would be accelerated along a track 4.0 km long. At the end of the track, the speed of the shuttle would be great enough to place it into orbit around Earth. At what speed is an electron moving in a powerful 6.4 T magnetic field if it experiences a force of 2.76 x 10-1" N?

Explanation / Answer

12. Fm = q V B sin(theta)

1.25 x10^-6 = (88 x 10^-9) (v) (0.32) sin90

v = 44.4 m/s

13. 2.76 x 10^-16 = (1.6 x 10^-19)(v)(6.4)
  
v = 269.5 m/s