Suppose the diameter of the Earth has decreased by 2 times. Establish the correspondence between the formulation of the problem and the conclusions. Match each position from the first column with the corresponding position from the second column and write the selected numbers under the corresponding letters. A) the mass remained the same. B) the mass decreased by 2 times. 1) the force acting on a person from the side of the Earth will become 4 times greater. 2) the force acting on a person from the side of the Earth will become 4 times smaller. 3) the force acting on a person from the side of the Earth will become 2 times greater. 4) the force acting on a person from the side of the Earth will become
Рак
A) the mass remained the same. - 2)
B) the mass decreased by 2 times. - 1)
Explanation:
When the diameter of the Earth decreases by 2 times, we can establish the correspondence between the changes in mass and the force acting on a person from the side of the Earth.
If the mass remained the same (option A), there would be no changes in the force acting on a person from the side of the Earth. This means that the force would remain the same or unchanged. Therefore, the correct correspondence for option A is 2).
On the other hand, if the mass decreased by 2 times (option B), the force acting on a person from the side of the Earth would become 4 times smaller. This can be explained using Newton"s Law of Universal Gravitation, which states that the force of gravity is directly proportional to the product of the masses and inversely proportional to the square of the distance between them. When the diameter of the Earth decreases, the distance between an object and the center of the Earth also decreases. As a result, the force of gravity becomes weaker. Therefore, the correct correspondence for option B is 1).
So, the correct matching is:
A) the mass remained the same - 2)
B) the mass decreased by 2 times - 1)
B) the mass decreased by 2 times. - 1)
Explanation:
When the diameter of the Earth decreases by 2 times, we can establish the correspondence between the changes in mass and the force acting on a person from the side of the Earth.
If the mass remained the same (option A), there would be no changes in the force acting on a person from the side of the Earth. This means that the force would remain the same or unchanged. Therefore, the correct correspondence for option A is 2).
On the other hand, if the mass decreased by 2 times (option B), the force acting on a person from the side of the Earth would become 4 times smaller. This can be explained using Newton"s Law of Universal Gravitation, which states that the force of gravity is directly proportional to the product of the masses and inversely proportional to the square of the distance between them. When the diameter of the Earth decreases, the distance between an object and the center of the Earth also decreases. As a result, the force of gravity becomes weaker. Therefore, the correct correspondence for option B is 1).
So, the correct matching is:
A) the mass remained the same - 2)
B) the mass decreased by 2 times - 1)
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