Answer
(a) $0.29\space kgm^{2}/s$
(b) Downward
Work Step by Step
(a) Here we use the equation, Angular momentum (L) = mrV ; where, m - mass of the ball, r - radius of circle, V - speed of the ball
$L=mrV$ ; Let's plug known values into this equation.
$L=58.2\times10^{-3}kg\times84.3\times10^{-2}m\times5.87\space m/s$
$L=28800\times10^{-5}kgm^{2}/s$
$L=0.29\space kgm^{2}/s$
(b) To find the direction, we use the right-hand rule. Then we can find the direction as downward.
