If the Earth were to shrink but keep the same mass, the density of the planet would increase dramatically. This would have a number of significant effects on the planet and its inhabitants.
Increased gravity: The force of gravity is inversely proportional to the square of the distance from the center of an object. This means that as the Earth's radius shrinks, the force of gravity at its surface would increase. This would make everything on Earth weigh more, and could potentially crush many structures and organisms.
Increased atmospheric pressure: The atmosphere is held in place by the Earth's gravity. As the Earth's gravity increases, the atmospheric pressure would also increase. This could make it difficult to breathe for humans and other animals.
Increased volcanic activity: The increased pressure and heat inside the Earth would likely lead to increased volcanic activity. This could cause earthquakes, tsunamis, and other natural disasters.
Potential for collapse: If the Earth were to shrink too much, it could potentially collapse into a black hole. This would be a catastrophic event for all life on Earth.
Earth entering a black hole
If the Earth were to enter a black hole, it would be torn apart as it crossed the event horizon. The matter from the Earth would then be compressed and heated to incredibly high temperatures. This would cause the matter to emit intense radiation, which would vaporize any remaining planets or objects in the vicinity.
The event horizon of a black hole is the point of no return. Once something crosses the event horizon, it can never escape, not even light. This means that if the Earth were to enter a black hole, it would be gone forever.
In conclusion, both shrinking the Earth and entering a black hole would be catastrophic events for all life on Earth. These events would likely result in the destruction of the planet and all of its inhabitants.
Gravity If Earth shrank, and mass remains unchanged, then my weight at the surface will increase. We know very well that weight of the body is given (W) =mg, where m is the mass of the body and g is the acceleration due to gravity.If earth shrunk in size (but has same number of atoms and mass) will gravity be affected? If the earth will shrink without changing its centre of mass then there would be no any change in gravitational force between two objects. If the Earth suddenly shrinks, mass remaining constant, the moment of inertia of the Earth will decrease, and consequently the angular speed of rotation ω about its axis will increase. Since period T∝1ω. The duration of the day T will decrease. If the mass will decrease, then gravitational attraction between earth and sun must decrease, and its angular momentum must decrease, which would result in greater orbit of earth and earth being cooler over the time, but instead the temperature of earth is increasing, why is it so? If the earth were to shrink from its original size than the moment of inertia will decrease. By the conservation of angular momentum, the angular velocity will increase to its small size and thus the length of the day will decrease. Hence acceleration due to gravity increases as the radius of earth decreases. Since the acceleration of gravity is inversely proportional to the square of the radius of the planet, the acceleration of gravity would be one ninth of the real Eartb, thrust the weight of the object would one ninth of the real Earth. The Earth would stand no chance if it encountered a rogue black hole; the cosmic black hole's tidal forces would easily rip the planet apart. Lost in space: Matter piles up in a superheated, rapidly spinning disc before plunging through the horizon of a black hole, never to reappear again. If a black hole somehow came extremely close to Earth and was traveling slowly enough then our planet would likely be ripped apart by the extreme gravitational forces of the object. No material that falls inside a black hole could survive intact. Unfortunately, because nothing can escape a black hole's event horizon not even information we'll never know for certain what happens when matter falls past the point of no return. When matter falls into or comes closer than the event horizon of a black hole, it becomes isolated from the rest of space-time. It can never leave that region. For all practical purposes the matter has disappeared from the universe. Even if a black hole the same mass as the sun were to take the place of the sun, Earth still would not fall in. The black hole would have the same gravity as the sun. Earth and the other planets would orbit the black hole as they orbit the sun now.
'If the earth will shrink without changing its centre of mass then there would be no any change in gravitational force between two objects. If the Earth suddenly shrinks, mass remaining constant, the moment of inertia of the Earth will decrease, and consequently the angular speed of rotation ω about its axis will increase. Since period T∝1ω.'
How did you get this conclushion?
This statement goes against Galileo's principle and the principle of conservation of energy-mass!
Take a bag of chicken feathers and measure the area and weight of the bag. Let the extension of the bag be V1 and the mass m1.Then compress the bag with all its material in a V2=V1/2 space and put the new bag on the scale... What will you measure? a m2- mass equal to m1... So its inertia has not changed!
The rest of the text also contains circular arguments!
The Black does not exist! That is why let see the response of Murtadha Shukur first: 1-2 point is OK
but the point of 3 is not:
'Increased volcanic activity: The increased pressure and heat inside the Earth would likely lead to increased volcanic activity. This could cause earthquakes, tsunamis, and other natural disasters.'
In that case, this condition is not fulfilled:'What would happen if the Earth shrinks but kept the same mass'?