When will the earth act like the moon with regard to one side of the moon always facing the earth. Will the earth one day get locked in a rotational orbit that has one side of the planet facing the the sun at all times?
Well, yes it is possible. Earth's rotational speed is decreasing. But the decrease rate is very small. The time period is increasing at a rate of nearly 2.2 seconds/ 100,000 years. So to increase the time period from 1 day to 365 days, it will require almost 1.4x10^12 years. This is calculated assuming that the rate of increase remains same which may not be the case. But then various factors come in. Like after 5 billion years Sun will become a red giant and would ultimately absorb earth. So, that day when earth will have a rotating speed of 365 days won't be happening.