Ablock of mass 0.221 kg is placed on top of a light, vertical spring of force constant 5365 n/m and pushed downward so that the spring is compressed by 0.097 m. after the block is released from rest, it travels upward and then leaves the spring. to what maximum height above the point of release does it rise?

Consider an ordinary, helium-filled party balloon with a volume of 2.2 ft3. the lifting force on the balloon due to the outside air is the net resultant of the pressure distribution exerted on the exterior surface of the balloon. using this fact, we can derive archimedes’ principle, namely that the upward force on the balloon is equal to the weight of the air displaced by the balloon. assuming that the balloon is at sea level, where the air density is 0.002377 slug/ft3, calculate the maximum weight that can be lifted by the balloon. note: the molecular weight of air is 28.8 and that of helium is 4.