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Q.

A space shuttle is designed in such a way that magnetic force is used to reduce its acceleration during the landing of the shuttle on a newly discovered planet. For this planet, it was known that gravitational acceleration above the surface of the planet is constant towards perpendicular downward to the planet surface and is equal to g and the magnetic field produced by the planet is uniformly B and is directed parallel to the planet’s surface. There is no atmosphere above the planet surface. The space shuttle is given such a shape, such that it can be idealized like conducting disc of mass m. radius R and thickness d (thickness d is much smaller than R) as shown in the figure. x and y are two flat surfaces of the shuttle. Neglect any type of eddy current appeared during the motion.

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