Our solar system, the earth, and the other planets and their moons revolve around the Sun. This happens because of the strong gravitational pull from the Sun's incredible mass which equals an incredible 99.86% of our solar system's total mass, and as Earth and the other planets orbit around the Sun, our entire solar system is traveling through space at the same time and a velocity of about 20km/s suddenly remove the center point of gravity from our solar system and catastrophic events could happen. The first thing that would befall the earth in eternal darkness is darkness, but it takes about eight minutes and 20 seconds for sunlight to travel from the Sun to the earth, we wouldn't know the Sun was gone until that short time later. We would still be able to see other planets farther out in the solar system reflecting sunlight from the Sun that no Longer exists Jupiter for instance would still be visible in the black night sky for 33 minutes after we lost our sunlight our Moon would also no longer be visible in the sky people on the dayside of the planet would notice the sun's light going out first and some on the night side would see the moon's light fade out just about the same time that sunlight stopped traveling to our planet the gravitational pull from the Sun would be gone since gravitational waves traveled the same speed as the speed of light with the gravitational pull of the Sun suddenly gone
Mercury, Venus, and then the earth would shoot outwards traveling the same speed the earth will be hurtling through the coldness of space at 30 km/s or 60 7108 points zero nine miles per hour mass panic and chaos would start when everyone had suddenly realized the Sun had just vanished some people may die from the shock and disbelief at what has happened many people would die from widespread panic as people flee to their homes or try to find safe places to get to there would be no light except for artificial light powered by electricity as long as the power plants remained operational and the people who operate them were still able to keep them running, the warmth from the Sun would stop and some places would experience near-instant temperature drop in comparison data obtained during the 2017 solar eclipse show temperatures dropped, and in some places by as much as 11 degrees during the time when the moon blocked out the Sun. if the Sun was completely gone, we can safely say temperatures could drop by 20 degrees, or more instantly, but besides surface temperatures suddenly dropping the loss of sunlight, also poses a bigger threat as if slowly freezing to death isn't threat enough.
The biggest problem would be the loss of photosynthesis which makes up 99.9% of all the Earth's natural productivity. The process would eventually cease in about 24 hours without the Sun, plants would not be able to produce food or take in carbon dioxide and give off life-sustaining oxygen. However, we would still be able to survive because the oxygen supply in our atmosphere is an estimated quintillion tons of oxygen, which is enough oxygen left in our atmosphere to survive another 150 thousand years. That is until the atmosphere itself froze and fell to earth as frozen black ice, and unless someone figured out a way to fix the lighting problem fast, all plants would start to die because they are unable to produce food for themselves, and depending on the size of the plant, they start to die within days or weeks. Larger trees and plants could survive longer depending on how much food the tree or large plant had stored, some trees can live from 6 months to a year in the cold and dark, but eventually, without the Sun, the trees that survived would start to freeze and then eventually would start to turn into ice.
Animals that depended on plant matter to survive like cows, goats, horses, and other grazing animals would run out of food. First, carnivores like lions, bears, tigers, and other meat-eating creatures will surely live longer feeding off the herbivores, weakened by cold and starvation. This of course would be dependent on if those carnivores could survive the dropping temperatures. All across the glob,e but most carnivores like wolves and bears can survive very cold temperatures, fish in shallow lakes or rivers will likely freeze to death, and if those lakes rivers and streams started to freeze over with ice within a week, the average global surface temperature of the earth will drop below zero degrees Fahrenheit.
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