If the mass of Earth is four-times bigger, and the radius of Earth is two-times smaller, what would be my new weight compared to my current weight?
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First, answer the following question. If the mass of the earth is $M$, and the radius is $R$, then what would your current weight be if your mass is $m$ and the gravitational constant is $G$? In other words, what upward normal force must the scale apply to your body to counteract the downward force of gravity?
Once you have this answer, do the calculation again for $4M$ and $\frac{R}{2}$ and compare.
answered Nov 9, 2013 at 11:25