Ans. The force of gravitation between two objects is inversely proportional to the square of the distance between them therefore the gravity will become four times if distance between them is reduced to half.
The force between two objects is determined by Newton's law of universal gravitation, which states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
Mathematically, the equation for the gravitational force (F) between two objects is:
F = (G * m1 * m2) / r^2
Where G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers.
Now, let's consider the scenario where the mass of one object is reduced to half. Let's say the mass of object 1 is m1 and the mass of object 2 is m2. If the mass of object 1 is reduced to half, it becomes m1/2.
Substituting the new mass values into the equation, the new force (F') can be calculated as:
F' = (G * (m1/2) * m2) / r^2
Simplifying further:
F' = (1/2) * (G * m1 * m2) / r^2
F' = (1/2) * F
Therefore, when the mass of one object is reduced to half, the force between the two objects is also reduced to half. This indicates that the force of gravity is directly proportional to the mass of the objects involved.
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Ans. The force of gravitation between two objects is inversely proportional to the square of the distance between them therefore the gravity will become four times if distance between them is reduced to half.
Answer:
The force between two objects is determined by Newton's law of universal gravitation, which states that the force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
Mathematically, the equation for the gravitational force (F) between two objects is:
F = (G * m1 * m2) / r^2
Where G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers.
Now, let's consider the scenario where the mass of one object is reduced to half. Let's say the mass of object 1 is m1 and the mass of object 2 is m2. If the mass of object 1 is reduced to half, it becomes m1/2.
Substituting the new mass values into the equation, the new force (F') can be calculated as:
F' = (G * (m1/2) * m2) / r^2
Simplifying further:
F' = (1/2) * (G * m1 * m2) / r^2
F' = (1/2) * F
Therefore, when the mass of one object is reduced to half, the force between the two objects is also reduced to half. This indicates that the force of gravity is directly proportional to the mass of the objects involved.