The resistance of a conductive wire is given by:

where

is the material resistivity

is the wire length

is the cross-sectional area of the wire
The length of the wire is quadrupled, so if we call L the original length and L' the new length, we can write

Similarly, the radius of the wire is doubled (r'=2r), so the new area is

And if we substitute into the equation, we find that the new resistance of the wire is

Therefore, R=R': this means that the resistance of the wire did not change.
Explanation:
We need to calculate the centripetal force:
Fc = W + F
With Fc being the centripetal force, W the weight of the boy, F the centrifugal force (apparent).
We know that we can calculate the apparent centrifugal force thank to the formula:
F = (m·v²)/r = 204N
So we can write:
Fc = W + F = 445N + 204N = 649N
Answer:
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