The force of gravitation between two bodies in the universe does not ...
The force of gravitation between two bodies in the universe does not depend on the total of their masses. This can be explained by understanding the basic principles of Newton's law of universal gravitation.
Newton's law of universal gravitation states that the force of gravitation between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. Mathematically, it can be expressed as:
F = G * (m1 * m2) / r^2
where F is the force of gravitation, G is the gravitational constant, m1 and m2 are the masses of the two bodies, and r is the distance between their centers.
Based on this equation, we can analyze each option:
a) The distance between them: According to Newton's law of universal gravitation, the force of gravitation is inversely proportional to the square of the distance between the bodies. As the distance increases, the force of gravitation decreases, and vice versa. Therefore, the force of gravitation does depend on the distance between the bodies.
b) Product of their masses: As shown in the equation, the force of gravitation is directly proportional to the product of the masses of the two bodies. If either of the masses is increased, the force of gravitation will increase, and vice versa. Therefore, the force of gravitation does depend on the product of their masses.
c) The total of their masses: The total of their masses refers to the sum of the masses of the two bodies. However, the equation for the force of gravitation does not include the sum of the masses. It only considers the product of the masses. Therefore, the force of gravitation does not depend on the total of their masses.
d) The gravitational constant: The gravitational constant, denoted by G, is a fundamental constant in physics. It is a fixed value that determines the strength of the gravitational force. While the gravitational constant is essential for calculating the force of gravitation, it does not affect the dependence of the force on the masses or distance between the bodies.
In conclusion, the force of gravitation between two bodies in the universe depends on the distance between them (option a) and the product of their masses (option b), but it does not depend on the total of their masses (option c) or the gravitational constant (option d).
The force of gravitation between two bodies in the universe does not ...
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