PROBLEM $3$

In figure here, a $2\mathrm{.}00g$ ice flake is released from the edge of a hemispherical bowl whose radius $r$ is $22\mathrm{.}0cm.$ The flake$-$bowl contact is frictionless.

$($a$)$ What is the speed of the flake when it reaches the bottom of the bowl?

$-($b$)$ If we substituted a second flake with twice the mass, what would its speed be$?$

$($c$)$ If$,$ instead, we gave the flake an initial downward speed along the bowl, would the answer to $($a$)$ increase, decrease, or remain the same?

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