In an 8.00 km race, one runner runs at a steady 11.4 km/h and another runs at 14.6 km/h. how far from the finish line is the slower runner when the faster runner finishes the race?

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.