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

Question

Quincy

Physics

10 June, 03:37

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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Corinne Key · Answer 1

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