A point dipole p oriented along the z-axis is placed at the center of a spherical cavity of radius R with conducting walls. The walls are grounded.

Find the potential everywhere inside the cavity using the general solution in spherical coordinates,

V(r, theta) = Sigma [A_lr^l + B_l/r^l + 1](cos theta),

with the following two boundary conditions:

V = 0 at r = R and (ii) V rightarrow V_dipole as r rightarrow 0.

Astone is dropped from the upper observation deck of a tower, 250 m above the ground. (assume g = 9.8 m/s2.) (a) find the distance (in meters) of the stone above ground level at time t. h(t) = (b) how long does it take the stone to reach the ground? (round your answer to two decimal places.) s (c) with what velocity does it strike the ground? (round your answer to one decimal place.) m/s (d) if the stone is thrown downward with a speed of 2 m/s, how long does it take to reach the ground? (round your answer to two decimal places.) s