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If we were to suddenly stop moving around the sun (disregarding the amount of energy it would take to stop our planet's revolution) we would all die immediately. Our planet is going about 66,000 miles per hour (100,000 kph). If the planet were to suddenly stop, depending on where you were on the planet, it is quite possible that you would literally shoot out into space. People on the opposite side of earth would be squished violently and instantaneously into a pulp. But, either way, all structures would be leveled, the atmosphere would fly into the vacuum of space, and we would all be dead.

Luckily, that's not going to happen because of the whole "once something is moving it tends to keep moving" law of physics.
Michael: What would happen if the Earth suddenly froze in place?

Hank: If our planet was to suddenly stop moving around the Sun, disregarding the amount of energy that it would take to stop a planet's revolution, we would immediately all die!

Our planet is going about 66,000 miles per hour; if the planet were to suddenly stop, depending on where you were on the planet, it's quite possible that you would literally shoot out into space! People on the opposite side of the Earth would be squished violently and instantaneously into a pulp, but either way, all structures would be leveled, the atmosphere would fly off into the vacuum of space, and we would all be dead.