Asmall ball is attached to one end of a spring that has an unstrained length of 0.169 m. the spring is held by the other end, and the ball is whirled around in a horizontal circle at a speed of 3.15 m/s. the spring remains nearly parallel to the ground during the motion and is observed to stretch by 0.0131 m. by how much would the spring stretch if it were attached to the ceiling and the ball allowed to hang straight down, motionless?

Consider a small frictionless puck perched at the top of a fixed sphere of radius r. if the puck is given a tiny nudge so that it begins to slide down, through what vertical height will it descend before it leaves the surface of the sphere? [hint: use conservation of energy to find the puck's speed as a func e conservation of energy to find the puck's speed as a function of its height at what value of this normal force does the puck leave the sphere? ] here on the puck.