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The Earth orbits the sun at around 66,600 mph and weighs approx. 6*10^24 kilograms.

The kinetic energy required to stop the Earth orbiting the sun is then about 2.86×10^34 joules or  6.84*1018 megatons of TNT. For reference, the largest nuclear explosion ever detonated (the Tsar Bomba by the Soviet Union) “only” produced 50 megatons of TNT worth of energy. So it would take about 136,858,321,564,572,000 of those nuclear bombs detonated at the correct location to stop the Earth from orbiting the sun.