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We have enough nuclear energy on earth to last for millennia. By that time, we will certainly got the handle on the controlled thermonuclear fusion (the hydrogen bomb) which has the energy potential of a lot more than even that.
Other energy sources will be found by then!

The irrational fear of nuclear energy is totally unscientific. There were less than 100 people killed at Chernobyl, about the same amount of people killed that day on US roads!
Radioactivity is not that bad, actually lower doses seems to be goo to you! The present day safety standards (developed from extrapolation of Hiroshima research) are overly conservative, the safety factors build in are just extreme, but everybody is in fear of lawsuits if they ever relax them.
Places with high level of natural radiation are known for being healthy spas with lower than average cancer case.
See https://en.wikipedia.org/wiki/Ramsar,_Mazandaran
Ramsar, the most radioactive place on Earth is famous spa, where Shah of Iran used to have his summer palace. That place has natural radioactivity about 10x more than considered safe by present day science, yet people live there happily for millennia.

On the flip side, places with very low natural radiation are known for high occurrence of cancer.
That suggest that we really need some level of radiation for healthy life!

The natural radiation on Earth is (very!) slowly decaying, life on Earth developed under at least 10x radiation levels and everything was OK then. This decay of radiation is linked to decaying vulcanism on Earth and decaying levels of CO2! (Most CO2 on Earth comes from volcanoes.)
That seems to be one (main) reason for overall cooling trend of the Earth and the ice ages, as well as explaining why Earth is not hotter, than it should be, given that Sun output has risen at least 10% over last billion of years and continues to rise.