If Earth were replaced by an object with the same mass but much smaller in size, would the moon continue to orbit the new object
2 answers:
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Answer:
Mass, M = 4.859 Kg
Explanation:
Given the following data;
Radius, r = 0.225 m
Moment of inertia, I = 0.123 kgm²
To find the mass;
Mathematically, the moment of inertia is given by the formula;
I = ⅖Mr²
Making M the subject of formula, we have;
Cross-multiplying, we have;
2I = Mr²
Substituting into the formula, we have;
Mass, M = 4.859 Kg