What will be the direction of the force required on the ball to move the ball up the stairs?

$ W = int (mah + max) d theta $

using $ h = rsin(theta) $ and $ x = r cos(theta) $

get $ W = int ma(rsin(theta)) + ma(r cos(theta)) d theta $

$ W = -ma rcos(theta) + ma rsin(theta) $

if we use $ a = v^{2}/r $

get

$ W = -mv^{2} cos(theta) + mv^{2} sin(theta) $

$ W = mv^{2} (sin(theta) - cos(theta)) $