Amass m is tied to an ideal spring with force constant k and rests on a frictionless surface. the mass moves along the x axis. assume that x=0 corresponds to the relaxed position of the spring. the mass is pulled out to a position xm and released. derive an expression for the positions at which the kinetic energy of the mass is equal to the elastic potential energy of the spring.

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 of a column of water 1.00 km high for a temperature increase of 1.00ºc. note that this calculation is only approximate because ocean warming is not uniform with depth. (answer in ×10^{-3} −3 m)