As shown in the figure, a rectangular coil of width $15\mathrm{.}0$ cm and length $60\mathrm{.}0$ cm having a resistance of $35\mathrm{.}0$ is held parallel to the xy plane with one half within a uniform magnetic field of $2\mathrm{.}00$k $$ T$.$ The coil moves with a constant velocity of $0\mathrm{.}10$ m$/$s$.$ Calculate:

a$)$ The current induced in the suction indicating the direction $($clockwise$/$counterclockwise$)$

b$)$ The force required to move the suction to the left at this velocity.

c$)$ The power dissipated by the resistance