A spring with a spring constant of 520 N/m hangs from the ceiling of a room. If a mass of 2.5 kg is placed on the end and the spring is allowed to stretch until it reaches static equilibrium, how far is the spring stretched from its equilibrium position? 5. If the spring and mass in problem 4 are placed horizontally on a flat, frictionless surface and one end of the spring is attached to a wall, how fast would the mass be traveling when it crossed the equilibrium position if it were displaced by 0.50 m from equilibrium and released from rest? What would the period of oscillation be?

Neptune is the eighth planet from the sun. it was the first planet to get its existence predicted by  mathematical calculations  before it was actually seen through a telescope on sept. 23, 1846. irregularities in the orbit of  uranus  led french astronomer alexis bouvard to suggest that the gravitational pull from another celestial body might be responsible. german astronomer johann galle then relied on subsequent calculations to   spot neptune via telescope. previously, astronomer galileo galilei sketched the planet, but he mistook it for a star due to its slow motion. in accordance with all the other planets seen in the sky, this new world was given a name from greek and roman mythology — neptune, the roman god of the sea.