Answer:
W = 19.845 J
Explanation:
Work is defined as W = Fdcos[tex]\theta[/tex], where F is the force exerted and d is the distance. Because the direction the ball is falling is the same direction as the force itself, [tex]\theta[/tex] = 0 deg, and since cos(0) = 1, this equation is equivalent to W = Fd. In this case, the force exerted is the weight force, which is equivalent to m * g. Substituting you get:
W = mgd = 0.810 kg * 9.8 m/s^2 * 2.5m
W = 19.845 J
