How does the weight of an object vary with respect to mass and radius of the earth. In a hypothetical case, if the diameter of the earth becomes half of its present value and its ,mass becomes four times of its present value, then how would the weight of any object on the surface of the earth be affected?

Explanation

To solve the problem, we need to understand how the weight of an object is affected by the mass and radius of the Earth. The weight of an object (W) can be expressed using the formula:

\[ W = m \cdot g \]

Where:
- \( m \) is the mass of the object,
- \( g \) is the acceleration due to gravity.

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