if we make hole on earth and we drop a person where did the person is stayed
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assume we drop stone
This is a cool question about gravity! Let us start by assuming Earth has a solid core. In reality, the earth has a liquid mantle layer beneath the crust so we wouldn't actually be able to dig a hole through the center of the planet. Furthermore, let's assume no air resistance once we dig this hole to the other side of the world that we've thought of. Let's also say we drilled the hole so it basically makes a "tunnel" from the north pole to the south pole.
If we drop a stone through the tunnel from the north pole, it will initially accelerate towards the south pole at a decreasing rate as it moves, until it reaches the center of the Earth. Once it reaches the center of the earth, it will decelerate (have a negative acceleration) at an increasing rate as it moves, but still be moving toward the south pole. The reason it will start decelerating is because gravity is weaker closer to the center of the earth.As a rough approximation for why this happens, we can look at the equation for gravitational acceleration as a function of radius:
g=G M/r2
where G is the gravitational constant, andM is the mass contained within the radius r. If we further assume that earth has a constant density:
M = (4/3)*pi*density*r3.
Plugging this in for M in the equation for g would give
g=(4pi/3)G*density*r
As you can see, g is proportional to the radius from the center of the earth. As we approach the center of the earth, r gets smaller, and so does g, the gravitational acceleration. Thus, when the stone reaches the center of the earth, it will actually start to decelerate, even though it is still moving toward the south pole. Once it reaches the south pole, the stone will start accelerating at a decreasing rate toward the north pole. When it reaches the center of the planet again, it will begin to decelerate again, and continue this oscillating motion between the north and south poles!
This is a cool question about gravity! Let us start by assuming Earth has a solid core. In reality, the earth has a liquid mantle layer beneath the crust so we wouldn't actually be able to dig a hole through the center of the planet. Furthermore, let's assume no air resistance once we dig this hole to the other side of the world that we've thought of. Let's also say we drilled the hole so it basically makes a "tunnel" from the north pole to the south pole.
If we drop a stone through the tunnel from the north pole, it will initially accelerate towards the south pole at a decreasing rate as it moves, until it reaches the center of the Earth. Once it reaches the center of the earth, it will decelerate (have a negative acceleration) at an increasing rate as it moves, but still be moving toward the south pole. The reason it will start decelerating is because gravity is weaker closer to the center of the earth.As a rough approximation for why this happens, we can look at the equation for gravitational acceleration as a function of radius:
g=G M/r2
where G is the gravitational constant, andM is the mass contained within the radius r. If we further assume that earth has a constant density:
M = (4/3)*pi*density*r3.
Plugging this in for M in the equation for g would give
g=(4pi/3)G*density*r
As you can see, g is proportional to the radius from the center of the earth. As we approach the center of the earth, r gets smaller, and so does g, the gravitational acceleration. Thus, when the stone reaches the center of the earth, it will actually start to decelerate, even though it is still moving toward the south pole. Once it reaches the south pole, the stone will start accelerating at a decreasing rate toward the north pole. When it reaches the center of the planet again, it will begin to decelerate again, and continue this oscillating motion between the north and south poles!
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⭐if we make hole on Earth and drop a person then abcause person will fall on the hole...
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