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 of how the weight of an object varies with respect to the mass and radius of the Earth, we can follow these steps:

### Step 1: Understand the formula for weight
The weight \( W \) of an object is given by the formula:
\[ W = \frac{G \cdot M \cdot m}{r^2} \]
where:
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