The top end of a spring with spring constant k is attached to the ceiling; a mass m hangs from the bottom (initially at rest).(a) How far below the spring's equilibrium point does the mass hang?(b) A person attaches a second mass m to the spring and releases it. When the mass is added, the extra weight stretches the spring out further, falling down an additional distance before the elastic force pulls it back up.How far below the spring's equilibrium point do the masses fall before they start to come back up?(c) The masses bounce up and down for a while before eventually coming to rest (due to air drag, friction, and the like). Once they come to rest, how far below the equilibrium point will they be located?Hint: This problem is surprisingly nuanced. In each case, think very carefully about whether the net force on the masses or their velocity is zero.

6. The top end of a spring with spring constant k is attached to the ceiling; a mass m hangs from the bottom (initially at rest). (a) How far below the spring's equilibrium point does the mass hang? (b) A person attaches a second mass m to the spring and releases it. When the mass is added, the extra weight stretches the spring out further, falling down an additional distance before the elastic force pulls it back up. How far below the spring's equilibrium point do the masses fall before they start to come back up? (c) The masses bounce up and down for a while before eventually coming to rest (due to air drag, friction, and the like). Once they come to rest, how far below the equilibrium point will they be located? Hint: This problem is surprisingly nuanced. In each case, think very carefully about whether the net force on the masses or their velocity is zero