On a horizontal, frictionless table, an open-topped 5.20-kg box is attached to an ideal horizontal spring having force constant 375 N/m. inside the box is a 3.44-kg stone. The system is oscillating with amplitude of 7.50 cm. When the box bas reached its maximum speed, the stone is suddenly plucked vertically out of the box without touching the box. Find
(a) The period and
(b) The amplitude of the resulting motion of the box.
(c) Without doing any calculations, is the new period greater or smaller than the original period? How do you know?