Answer
Work= 1.51 Joules
Work Step by Step
$F_{g}$ acts downwards so only vertical displacements are taken into calculations. At its lowest point, the ball is perpendicular with the starting point, therefore it only traveled the vertical distance of L.
L=.452m
Work=$F_{g}$ $\times$ L---$F_{g}$= .341kg $\times$ 9.8m/$s^{2}$
$F_{g}$=3.3418
Work=3.3418 N$\times$.425m
Work= 1.51 Joules
