Apiano is being pushed up a frictionless ramp that makes it 25° angle with the floor. if the piano weighs 510 pounds, and the force pushing the piano up the ramp is 240 pounds, what is the acceleration of the piano?

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.