The pressure gauge shown below has a spring for which k = 60 n/m, and the area of the piston is 0.50 cm2. its right end is connected to a closed container of gas at a gauge pressure of 30 kpa. how far will the spring be compressed if the region containing the spring is (a) in vacuum, and (b) open to the atmosphere? atmospheric pressure is 101 kpa; *use hooke’s law*

Simon is writing a story about an astronaut whose spacecraft has been boarded by space pirates. the astronaut has her lucky penny in her hand behind her back as the space pirates break into the control room. she has just locked the controls so that the ship is accelerating in the direction of the control room’s ceiling. simon wants the astronaut to use the penny to hit a button on the control panel to turn off the lights and escape. the button is located a short distance behind and below the astronaut’s hands. how should simon use the theory of relativity to describe what the astronaut must do in order to hit the button?