This is very hard to say because I don't know what you are asking. Do you have two voltage sources connected together in series or parallel? Maybe you have only one voltage source that changes frequency from 50 to 60 Hz and an unspecified load. Well then any possible change in the power delivered to the load will all depend on what the frequency sensitivity of the unspecified load.
__________________
"Don't disturb my circles." translation of Archimedes last words
If the load is an AC motor, it will run up to 20% faster. The mechanical consequences depend on the mechanism (including motor bearings and vibration modes).
If the load is an electronic circuit that uses the AC line for clocking anything besides operations that must be synchronized to the power line, beware of unintended results, because the clocking will be 20% faster than designed. For example, if you plug in a 50 Hz. alarm clock to a 60 Hz. source and set the alarm to wake you up after 8 hours, you would only get 6 2/3 hours of sleep before the alarm sounded.
If the load is lighting, a universal input electronic power supply for loads not synchronized to the line, etc. the difference will probably be negligible. Some motors, transformers, solenoids and ballasts could have an increase in eddy current losses at the higher frequency, so they would run warmer. High-Q line filters designed for 50 Hz. may not perform well at 60 Hz.
>>>>Some motors, transformers, solenoids and ballasts could have an ""increase"" in eddy current losses at the higher frequency, so they would run ""warmer"".<<<<<
Is this correct?
50Hz coiled applications perform well at 60 Hz, but 60Hz types run HOT on 50Hz.
"Some" would be very cheap products with poor material quality or inadequate core design. There are a few of them out there.
You are right about magnetic products designed for 60 Hz running hot at 50 Hz. The lower impedance at 50 Hz would permit an increase in current and consequently ohmic loss. The exception would be series line filter coils; they are intended for low pass operation.
If the load is resistive, no difference. If capacitive, more current. If inductive, less current. If a combination, it depends. What the load is, and what it does, specifically, is a different matter altogether.