A 3.4-kg sphere is suspended by a cord that passes over a 1.2-kg pulley of radius...
A 3.4-kg sphere is suspended by a cord that passes over a 1.2-kg pulley of radius 3.4 cm. The cord is attached to a spring whose force constant is k = 86 N/m as in the figure below. Assume the pulley is a solid disk. An apparatus is shown with a wall extending upward from the left end of a table and a pulley mounted above the right edge of the table. A horizontal spring labeled k has its left end attached to a horizontal cord, the other end of which is attached to the wall. The center line of the spring is aligned with the top of the pulley. The right end of the spring is attached to a second cord. This cord extends horizontally, over the pulley and 90° around it where it hangs downward. A sphere of mass m hangs from the end of the second cord.
(a) If the sphere is released from rest with the spring
unstretched, what distance does the sphere fall through before
stopping?
_______m
(b) Find the speed of the sphere after it has fallen 25 cm.
________m/s
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