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A particle of mass 5.00 kg is attached to a spring with a force constant of...

A particle of mass 5.00 kg is attached to a spring with a force constant of 160 N/m. It is oscillating on a frictionless, horizontal surface with an amplitude of 3.00 m. A 8.00-kg object is dropped vertically on top of the 5.00-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?
_____ J

(d) Account for the change in energy.

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