Splitting atoms - or nuclear fission - produces energy (in the form of heat) called nuclear energy. The key to controlling the splitting of atoms, thereby managing the power of nuclear energy, lies in knowing how, and when, to stop the chain reaction. (A controlled chain reaction produces energy; an uncontrolled chain reaction produces a nuclear explosion.) Enrico Fermi, while working at the University of Chicago, discovered how to control a nuclear chain reaction. His nuclear reactor was the first in the world.
Today, power plants in various countries use nuclear reactors (instead of burning coal) to create electricity. The same concept applies to nuclear-powered submarines where the energy produced from nuclear reactions (not fossil fuel) powers the ship. Always at issue, among other things, is the safe disposal of nuclear waste.
In a sense, a nuclear submarine’s power plant (her nuclear reactor) is nothing more than a large boiler which produces steam. That steam runs the turbines (which propel the ship through the water) and the generators (which provide the ship’s electricity). The major difference between steam that is produced by a coal-fired boiler, for example, and steam that is generated by nuclear power is what happens inside the nuclear reactor.
In 1939, when Einstein sent his letter to President Roosevelt, scientists were still learning these things about nuclear energy. No one had yet built nuclear power plants, atomic bombs or nuclear-powered submarines. How did the President react to Einstein’s concerns? Initially preoccupied with Hitler’s invasion of Poland, which started World War II, FDR was proceeding cautiously. By fall, he asked for advice from the newly formed "Advisory Committee on Uranium" which first met on October 21, 1939.
The advice he received ultimately led to the "Manhattan Project" and the world’s first atomic bombs.