In using the stream power formulation in bedrock incision problems, we are assuming that some fraction of the potential energy released by dropping the parcel of water in elevation is used to work on the bedrock. Here assume that all of that potential energy is converted instead to heat. Estimate how much a parcel of water will warm up as it drops from source area in the Himalayas to the ocean. Assume the elevation of the parcel is 6500 m when it is released by melt from a glacier. Here the problem is to convert its initial potential energy into heat. You will need to know the heat capacity of water, c = 4.19x10³ J/kg-°K. Ignore the contribution from passage into a warmer climate; we are interested in isolating the effect of energy conversion.