Escape Speed Comparison

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The escape speed from the surface of planet X is \(v_{\text{esc}}\). Planet Y has the same radius as planet X but twice the mass. What is the escape speed from the surface of planet Y?

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Hint

Recall the formula for escape speed: \(v_{\text{esc}} = \sqrt{\frac{2GM}{R}}\). Analyze how \(v_{\text{esc}}\) changes when the mass (M) is doubled while the radius (R) remains constant.

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Complete Answer

\(\sqrt{2} v_{\text{esc}}\)

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