A spiral staircase in a building is in the shape of a helix of radius meters. Between two floors of the building, the stairs make one full revolution and climb by meters. A person carries a bag of groceries up two floors. The combined mass of the person and the groceries is kg and the gravitational force is downward, where is the acceleration due to gravity, in meters per second squared. Calculate the work done by the person against gravity in joules. Enter the exact answer.

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?