Answer
(a) $5.71\times 10^{13}C$
(b) no change
Work Step by Step
(a) We can find the values of Q as follows:
$\frac{GM_EM_M}{R^2}=\frac{KQ^2}{R^2}$
This simplifies to:
$Q=\sqrt{\frac{GM_EM_M}{K}}$
We plug in the known values to obtain:
$Q=\sqrt{\frac{(6.67\times 10^{-11})(5.97\times 10^{24})(7.35\times 10^{22})}{8.99\times 10^9}}$
$Q=5.71\times 10^{13}C$
(b) From part (a): $Q=\sqrt{\frac{GM_EM_M}{K}}$. This equation shows us that the Q value does not depend on the distance. Thus, if the distance is doubled, the answer to part (a) does not change.
