A hypothetical planet has a mass one-third of and a radius three times that of Earth. What is the acceleration due to gravity on the planet in terms of g, the acceleration due to gravity on Earth?

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Answer:Gravity of hypothetical planet is.Explanation:Let the mass of Earth be ‘M’ and radius be ‘R’.Given:

Mass of the hypothetical planet (m) = one-third of Earth’s mass =

Radius of hypothetical planet (r) = 3 times Earth’s radius =

We know that, acceleration due to gravity of a planet of mass ‘M’ and radius ‘R’ is given as:

Now, the above is the value of ‘g’ for Earth.

Now,

acceleration due to gravity of hypothetical planet is given as:So,

the hypothetical planet is 1/27 times of the gravity of the Earth.