A129-kg astronaut (including space suit) acquires a speed of 2.90 m/s by pushing off with her legs from a 1900-kg space capsule. use the reference frame in which the capsule is at rest before the push.

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.