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Planet X has a mass 5.46 times that of the Earth and a radius4.28 times the radi

ID: 1753530 • Letter: P

Question

Planet X has a mass 5.46 times that of the Earth and a radius4.28 times the radius of the Earth. What is the acceleration due to gravity on the surface ofPlanet X, measured in units of g (the gravitational acceleration onthe surface of the Earth)? Answer in units of g. Please show work...I am stuck on this problem. Planet X has a mass 5.46 times that of the Earth and a radius4.28 times the radius of the Earth. What is the acceleration due to gravity on the surface ofPlanet X, measured in units of g (the gravitational acceleration onthe surface of the Earth)? Answer in units of g. Please show work...I am stuck on this problem.

Explanation / Answer

te accleration due to gravity on a planet             g = GM /R^2 M = mass of the planet R = radius           for Xplanet                g' = GM' / R'^2                     =G(5.46M) / (4.23R)^2                     = 0.305 g