A $17\mathrm{.}0$ m long, thin, uniform metal rod slides north at a speed of $29\mathrm{.}0$ m$/$s$.$ The length of the rod maintains an east$-$west orientation while sliding. The vertical component of the Earth's magnetic field at this location has a magnitude of $30\mathrm{.}0$T$.$ What is the magnitude of the induced emf between the ends of the rod $($in mV$)?$

mV

$($b$)$

What If$?$ The east end of the rod impacts and sticks to a pylon, causing the rod to rotate clockwise as viewed from above. While the rod rotates, what is the magnitude of the induced emf between the ends of the rod $($in mV$)?($Hint: use conservation of angular momentum to find the speed of the rod after the collision.$)$

mV