At the very end of wagner's series of operas the ring of nibelung, brunnhilde takes the golden ring form the finger of the dead siegfried and throws it into the rhine, where it sinks to the bottom of the river. assuming that the ring is small enough compared to the depth of the river to be treated as a point and that depth of the rhine where the ring goes in is 11.2 m, what is the area of the largest circle at the surface of the water over which light from the ring could escape from the water?

Apebble is thrown into a calm lake, ripples are formed from the center and move outward. the water particles in the lake travel in a circular pattern that moves up and down on the surface of a lake, and the energy travels a) diagonally. b) downward. c) horizontally. d) upward.

Ms.hidalgo opens the door to her classroom. her classroom is 60 degrees and the air outside is 80. predict what will happen using your knowledge of how heat flows.

As you are trying to move a heavy box of mass m, you realize that it is too heavy for you to lift by yourself. there is no one around to , so you attach an ideal pulley to the box and a massless rope to the ceiling, which you wrap around the pulley. you pull up on the rope to lift the box. use g for the magnitude of the acceleration due to gravity and neglect friction forces. once you have pulled hard enough to start the box moving upward, what is the magnitude f of the upward force you must apply to the rope to start raising the box with constant velocity? express the magnitude of the force in terms of m, the mass of the box.