If a small pea sized object hit the earth moving at the speed of light what would happen?

Nothing with any mass can actually reach the speed of light. And Newtonian physics breaks down near the speed of light so any mass will require more and more energy as it gets closer to the speed of light. So it really matters how much energy.

Still - it's unlikely that anything that fast/small is being continuously propelled, so it's going to lose energy to air resistance. Even in space, the speed is going to be severely reduced by collisions with whatever gas particles there are. And once it enters the atmosphere it's going to heat up a lot.
 
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