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meep26wesley
High School
Find the mass of Planet X, given that its radius is 3.39e6m and that the acceleration due to gravity on its surface is 3.73m/s2
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smmwaite
Answer
6.313 × 10²³ kg
From the Newtons;
F = GMm/r²
Where G = 6.67×10⁻¹¹ m²/kgs²
F = ma
ma = GMm/r²
Dividing by m on both sides
a = GM/r²
M = ar²/G
= 3.73 × (3.39×10⁶)²/ 6.67×10⁻¹¹
= 4.211×10⁻¹³/ 6.67×10⁻¹¹
= 6.313 × 10²³ kg
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