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The concept of the solid sphere was introduced by the ancient Greek philosopher Empedocles in the 5th century BC as part of his theory of the four elements. He believed that all matter was composed of combinations of earth, air, fire, and water arranged in solid spherical shapes.

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What is the moment of inertia of a solid sphere?

The moment of inertia of a solid sphere is given by the formula (2/5) m r2, where m is the mass of the sphere and r is the radius of the sphere.


What is the formula for calculating the moment of inertia of a solid sphere?

The formula for calculating the moment of inertia of a solid sphere is (2/5) m r2, where m is the mass of the sphere and r is the radius of the sphere.


What is the derivation of the moment of inertia of a solid sphere?

The moment of inertia of a solid sphere is derived by integrating the mass of the sphere over its volume, taking into account the distance of each mass element from the axis of rotation. This integration results in the formula for the moment of inertia of a solid sphere, which is (2/5) mass radius2.


What is the effect of gravity inside a solid sphere?

The effect of gravity inside a solid sphere is that it pulls objects towards the center of the sphere, with the force of gravity decreasing as you move towards the surface. This is because the mass of the sphere is concentrated at the center, creating a gravitational pull towards that point.


Will a solid metal sphere hold a larger electric charge then a hollow sphere of the same diameter and where does the charge reside in each case?

No, a hollow sphere can hold a larger electric charge compared to a solid sphere of the same diameter because the charge resides on the outer surface in both cases. In a hollow sphere, the charge distributes uniformly on the outer surface, allowing it to hold more charge without experiencing as much repulsion between like charges as a solid sphere.