The drawing shows a plane diving toward the ground and then climbing back upward. During each of these motions, the lift force L acts perpendicular to the displacement s, which has the same magnitude, 3.86 x 103 m, in each case. The engines of the plane exert a thrust T, which points in the direction of the displacement and has the same magnitude during the dive and the climb. The weight W on the plane has a magnitude of 7.79 x 104 N. In both motions, net work is performed due to the combined action of the forces L, T, and W. Find the difference between the net work done during the dive and the climb.

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?