There are approximately 6 million automobile accidents per year in the United States alone. That’s an awful lot of potential nuclear accidents. That reason alone is why a nuclear powered car is a very bad idea.
Another reason is that nuclear reactors are essentially big steam engines. Put enough radioactive material close to each other and things get hot. Put them under a boiler and you produce steam, which turns whatever you need it to turn to generate electricity, spin the impellers, turn the screws, etc. Automobiles have had steam engines before, and they didn’t work out too well.
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