12)C12B.3 A hollow metal block of mass m and specific "heat" c falls from rest from a height h above water of mass M and specific "heat C in a tub, in which (after some splashing and bob- bing dies down) the block eventually floats at rest. Assume that the block and water have the same temperature initially, that they have the same (possibly different) temperature finally, that little heat is lost from the water and block to their other surroundings in the process, and that no water is lost from the tub in the splash. We can look at this situation from three different perspectives, depending on what we take to be "the system." We might consider the system to be 1) the block + the tub of water + the earth, 2) the block + the tub of water, or 3) the block alone. For each case, answer the following questions for the complete process (from just as the block starts falling from rest to when it ends up at rest in the tub with the same temperature as the water). Energy "internal to the system" for a multiobject system includes the objects internal energies as well as the potential energies of any interactions between those objects. In some cases, unambiguously specifying the amount of energy involved might be impossible: if so, explain why. a) What net work (if any) is done on the system? b) What net heat (if any) flows into or out of the system? c) What form of energy internal to the system (if any) decreases and by how much? d) What form of energy internal to the system (if any) increases and by how much