Planet X has a gravitational field strength of at its surface

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Planet X has a gravitational field strength of 18 N kg−118 \text{ N kg}^{-1} at its surface. Planet Y has the same density as X but three times the radius of X. What is the gravitational field strength at the surface of Y? (A) 6 m s−26 \text{ m s}^{-2} (B) 18 m s−218 \text{ m s}^{-2} (C) 54 m s−254 \text{ m s}^{-2} (D) 162 m s−2162 \text{ m s}^{-2}

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