A spacecraft is in a circular orbit of radius 3.0 x 10^4 km around a 2.0 x 10^30 kg pulsar. The magnetic field of the pulsar at that radial distance is 1.0 x 10^2 T directed perpendicular to the velocity of the spacecraft. The spacecraft is 0.20 km long with radius of 0.040 km and moves counterclockwise in the xy-plane around the pulsar.

a) What is the speed of the spacecraft?

b) If the magnetic field points in the positive z-direction, is the emf induced from the back to the front of the spacecraft or from side to side?

c) Compute the induced emf.

d) Describe the hazards for astronauts inside any spacecraft moving in the vicinity of a pulsar.