Amarble slides without friction in a vertical loop around the inside of a smooth, 28.6 cm diameter horizontal pipe. the marble's speed at the bottom is 4.22 m/s and is fast enough so that the marble never loses contact with the pipe. what is its speed at the top?

Global warming will produce rising sea levels partly due to melting ice caps but also due to the expansion of water as average ocean temperatures rise. to get some idea of the size of this effect, calculate the change in length (in m) of a column of water 1.45 km high for a temperature increase of 1.12°c. assume the column is not free to expand sideways. as a model of the ocean, that is a reasonable approximation, as only parts of the ocean very close to