[Image attached] Please solve the question in details! A permanent magnet of mas

Question

[Image attached] Please solve the question in details!

A permanent magnet of mass M is dropped down the interior of a hollow cylindrical tube made of copper, as shown at left in the figure above. Friction between the inside of the tube and the magnet is negligible. As the magnet moves downward, an upward magnetic force F_B is induced, and the magnet's velocity quickly reaches a constant terminal value v_T. A nonmagnetic object of mass M is attached to the permanent magnet and the drop is repeated, as shown at right in the figure above. When terminal velocity is reached, how do the new values of F_B and v_T compare with their values without the object? (A) F_B and v_T are the same. (B) F_B is larger and v_T is smaller. (C) F_B is smaller and v_T is larger. (D) F_B and v_T are both larger. (E) F_B and v_T are both smaller.

Explanation / Answer

in case 1 :

magnetic force = weight of magnet

Fb = Mg

in case 2 :

Fb' = 2 Mg

clearly , the force is larger

to achieve the equilibrium, the the magnet has to fall for a larger distance and hence achieve greater speed

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