If the mass of a planet is 0.231 me and its radius is 0.528 re, estimate the gravitational field g at the surface of the planet. the gravitational acceleration on earth is 9.8 m/s 2 and the value of the universal gravitational constant is 6.67259 × 10−11 n · m2 /kg2 . answer in units of m/s 2 .

Explanation:

The strength of the gravitational field at the surface of a planet is given by

(1)

where

G is the gravitational constant

M is the mass of the planet

R is the radius of the planet

For the Earth:

For the unknown planet,

Substituting into the eq.(1), we find the gravitational acceleration of planet X relative to that of the Earth:

And substituting g = 9.8 m/s^2,

frequency or wavelenth of em radiation in a vacuum

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