A mass of 0.3 kg hangs motionless from a vertical spring whose length is 0.8 m and whose unstretched length is 0.65 m. Next the mass is pulled down so the spring has a length of 0.9 m and is given an initial speed upward of 1.2 m/s. What is the maximum length of the spring during the following motion? What approximations or simplifying assumptions did you make?

Onsider a u-tube whose arms are open to the atmosphere. now, equal volumes of water (ρ = 62.4 lbm/ft3) and light oil (ρ = 49.3 lbm/ft3) are poured from different arms. a person blows from the oil side of the u-tube until the contact surface of the two fluids moves to the bottom of the u-tube, and thus the liquid levels in the two arms are the same. if the fluid height in each arm is 31 in, determine the gage pressure the person exerts on the oil by blowing. (round the final answer to three decimal places.)