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1.29x10^5 m

Explanation:

Step 1:

Data obtained from the question.

Mass of uranus (M1) = 8.68x10^25Kg

Mass of miranda (M2) = 6.59x10^19Kg

Force (F) = 2.28x10^19N.

Gravitational constant (G) = 6.674×10^−11 m3/kgs2

Distance apart (r) =?

Step 2:

Determination of the distance apart.

Using the Newton's law of universal gravitation equation, the distance apart of uranus and the moon miranda can be obtained as follow:

F = GM1M2/r2

r2 = GM1M2/F

r2= (6.674×10^−11x8.68x10^25x6.59x10^19)/2.28x10^19

r2 = 1.67x10^16

Take the square root of both side.

r = √(1.67x10^16)

r = 1.29x10^5 m

Therefore, the distance apart is 1.29x10^5 m