The small particle of mass m = 4.0 kg and its restraining cord of length r = 0.58 m are spinning with an angular velocity w = 1.2 rad/s on the horizontal surface of a smooth disk, shown in section. As the force F is slowly relaxed, r increases and w changes. When r = 0.70 m, what is the angular velocity? How much energy is lost (enter a positive number) when the orbit expands from r = 0.58 m to r = 0.70 m? F

The small particle of mass m = 4.0 kg and its restraining cord of length r = 0.58 m are spinning with an angular velocity w = 1.2 rad/s on the horizontal surface of a smooth disk, shown in section. As the force F is slowly relaxed, r increases and w changes. When r = 0.70 m, what is the angular velocity? How much energy is lost (enter a positive number) when the orbit expands from r = 0.58 m to r = 0.70 m? F