A Nerf Gun fires a dart that has a mass of 0.005 kg straight up in the air. If the spring mechanism stores 1.3 J of energy, what is the maximum
height the dart could go, assuming all of the stored energy becomes
gravitational potential energy and there is no loss of energy to air
resistance?

Two masses are connected by a rope that hangs over a pulley as shown below. the pulley is a uniform cylinder of radius 푅=0.381meters and mass 푀=3.1푘푔. initially 푚"is on the ground and 푚#rests 2.5 meters above the ground. if the system is released, use conservation of energy to determine the speed of 푚#just before it strikes the ground. assume the pulley bearing is frictionless.