Central spring force A 2-kg mass on a frictionless table is attached to one end of a massless spring. The other end of the spring is held by a frictionless pivot. The spring produces a force of magnitude 3r newton on the mass, where r is the distance in meters from the pivot to the mass. The mass moves in a circle and has a total energy of 12 J. r
(a) Find the radius of the orbit and the velocity of the mass.
(b) The mass is struck by a sudden sharp blow, giving it instantaneous velocity of 1 m/s radially outward. Show the state of the system before and after the blow on a sketch of the energy diagram.
(c) For the new orbit, find the maximum and minimum values of r.
