### Compute the work done on it by the rope

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Q1. The aurora is caused when electrons and protons, moving in earth's magnetic field of 5x10^-5 T, collide with molecules of the atmosphere and cause them to glow. What is the radius of the circular orbit for (a) an electron with speed 1.0×10^6 and (b) a proton with speed 3.0×10^4.

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Q2. A 128 carton is pulled up a frictionless baggage ramp inclined at 30.0 above the horizontal by a rope exerting a 72.60 pull parallel to the ramp's surface. If the carton travels 5.20 along the surface of the ramp, compute the work done on it by the rope, gravity, and normal force of the ramp.

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