A frictionless vertical post is inserted into a bowling ball with a hole drilled through its center. The ball has a mass of 10.5 kg. A rope is attached to a ring that has been affixed to the ball. Kurt pulls on the rope at an angle of 24.5 degrees. with respect to the vertical with a constant force of magnitude F = 134 N

The work done by the Earth when the ball is raised by a vertical distance of 1.08 m is equal to 10.5*9.8*-1.08 = -111.132 J

The component of the force in the vertically upwards direction is equal to 134*cos 24.5 = 121.9 N. The work done is equal to the dot product of force applied and the resulting displacement. If Kurt would like to use a minimum magnitude of force to lift the ball, the force should be applied in a vertically upwards direction instead of at an angle to the vertical.