A 4-lb ball B is traveling around in a circle of radius { r }_{ 1 }= 3 ft with a speed { ({ v }_{ B }) }_{ 1 } = 6 ft/s. If the attached cord is pulled down through the hole with a constant speed { v }_{ r }= 2 ft/s, determine the ball’s speed at the instant { r }_{ 2 }= 2 ft. How much work has to be done to pull down the cord? Neglect friction and the size of the ball.