A small block of mass $\backslash ($ m$=180\backslash$mathrm$\{$~g$\}\backslash )$ is released from rest at point $\backslash ($ A $\backslash )$ along the horizontal diameter on the inside of a frictionless, hemispherical bowl of radius $\backslash ($ R$=\backslash )28\mathrm{.}0$ cm as shown in the figure below.

$($a$)$ Calculate the gravitational potential energy of the block$-$Earth system when the block is at point $($A$)$ relative to point $($B$).$ IJ

$($b$)$ Calculate the kinetic energy of the block at point $($B$).$

J

$($c$)$ Calculate its speed at point $($B$).$

$\backslash [$

$\backslash$mathrm$\{$m$\}/\backslash$mathrm$\{$s$\}$

$\backslash ]$

$($d$)$ Calculate its kinetic energy when the block is at point $($C$).$

$\backslash [$

$\backslash$mathrm$\{$J$\}$

$\backslash ]$

$($e$)$ Calculate the potential energy when the block is at point $($C$).$

J