Question Detail
Question
Using g = 9.8 m/s², R_E = 6.38 × 10⁶ m, and G = 6.67 × 10⁻¹¹ Nm²/kg², the calculated mass of the Earth is approximately:
Correct Answer
Option A is the correct answer.
Detailed Explanation
From g = GM_E/R_E², we get M_E = gR_E²/G. Substituting the values: M_E = (9.80 m/s²)(6.38×10⁶ m)² / (6.67×10⁻¹¹ Nm²/kg²) = 5.98 × 10²⁴ kg, as calculated in the lecture.
Hint
Rearrange the formula for g to solve for M_E.