A particle of mass 4.00 kg is attached to a spring with a force constant of 100 N/m. It is oscillating on a horizontal frictionless surface with an amplitude of 2.00 m. A 6.00-kg object is dropped vertically on top of the 4.00-kg object as it passes through its equilibrium point. The two objects stick together.
(a) By how much does the amplitude of the vibrating system change as a result of the collision? (b) By how much does the period change?
(c) By how much does the energy change?
(d) Account for the change in energy.
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January 9, 2010

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