Answer:
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
