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Planet X has twice Earth's mass and three times Earth's radius. The magnitude of the gravitational field near Planet X's surface is most nearly
Planet X has twice Earth's mass and three times Earth's radius. The magnitude of the gravitational field near Planet X's surface is most nearlya.2 N/kg
b.7 N/kg
c. 10 N/kg
d.20 N/kg
Final answer:The gravitational field on the surface of Planet X, which has twice Earth's mass and three times its radius, is calculated using the formula for gravitational field strength. When the values are plugged in and simplified, the resultant gravitational field strength on Planet X's surface is approximately 2.18 N/kg, which can be rounded to the nearest answer choice of 2 N/kg.Explanation:To calculate the gravitational field on the surface of Planet X, we use the formula g = G M / r^2, whereGis the gravitational constant,Mis the mass of the planet, andris the radius of the planet. Given that Planet X has twice Earth's mass (M = 2M_earth) and three times Earth's radius (r = 3R_earth), we plug in the values to get g = (G × 2M_earth) / (3R_earth)^2. Simplifying, we find the gravitational field of Planet X is g = (2/9) × g_earth. Since Earth's gravitational field is approximately 9.8 N/kg, we calculate the gravitational field strength at Planet X's surface to be approximately 2.18 N/kg, which would be rounded to 2 N/kg for the closest answer choice....