Universal Gravitational Constant Cavendish did his...

Universal Gravitational Constant Cavendish did his experiment using lead spheres. Suppose he had replaced the lead spheres with copper spheres of equal mass. Would his value of $G$ be the same or different? Explain.

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Key Concepts

Universal Gravitation

This concept involves Newton's law of universal gravitation, which states that every two masses attract each other with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers, with the Universal Gravitational Constant (G) as the constant of proportionality. It is a fundamental law that applies equally to all mass-bearing objects regardless of their composition.

Experimental Determination of G

Determining the value of G involves precise measurements of the gravitational force between known masses and distances, as exemplified by the Cavendish experiment. This experimental process relies on the invariance of gravitational interactions with respect to the material composition of the masses, meaning that if the mass and distance remain the same, the calculated value of G should also remain unchanged.

Material Independence in Gravitation

Gravitational force is solely a function of mass and spatial separation, and does not depend on the specific material or density of the objects involved. As a result, switching the material of the masses while keeping their mass constant does not alter the gravitational force between them, ensuring that the measured value of G remains the same.

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