A spring (with spring constant k=45 N/m) is compressed by 0.2 meters. A 0.5 kg ball is placed on top and the spring is released in a perfect energy transfer. How
high will the ball go? (show your work and conservation of energy equations)

Atwo-stage air compressor operates at steady state, compression 10m^3/min of air from 100 kpa and 300k to 1200 kpa. an intercooler between the two stages cools the air to 300k at a constant pressure of 350 kpa. the compression processes are isentropic. a) calculate the power required to run the compressor, in kw b) compare the result to the power required for isentropic compression from the same inlet state to the same final pressure.