A particle of mass 3.00 kg is attached to a spring with a force constant of 130 N/m. It is oscillating on a frictionless, horizontal surface with an amplitude of 3.00 m. A 7.00-kg object is dropped vertically on top of the 3.00-kg object as it passes through its equilibrium point. The two objects stick together. (a) What is the new amplitude of the vibrating system after the collision? m (b) By what factor has the period of the system changed? (c) By how much does the energy of the system change as a result of the collision