In recent years, astronomers have found planets orbiting nearby stars that are quite different from planets in our solar system. kepler-12b, has a diameter that is 1.7 times that of jupiter, but a mass that is only 0.43 that of jupiter. what is the value of g on this large, but low-density, world?

The value of g in Kepler-12b is

Explanation:

To determine the value of g at Kepler-12b it is necessary to combine the equation of the weight and the equation for the Universal law of gravity:

 (1)

Where m is the mass and g is the value of the gravity

 (2)

Equation (1) and equation (2) will be equal, since the weight is a force acting on the object as a consequence of gravity:

 (3)

Then g will be isolated from equation 3:

 (4)

The radius of Jupiter has a value of 69911000 meters, so its diameter can be determined by:

(5)

Where d and R are the diameter and radius of Jupiter

Procedure for finding the radius of Kepler-12b:

For the case of Kepler-12b it has a diameter that is 1.7 times that of Jupiter

By means of equation 5 the radius of Kepler-12b can be known:

Procedure for finding the mass of Kepler-12b:

The mass of Jupiter has a value of kilograms

For the case of Kepler-12b it has a mass that is 0.43 times that of jupiter

The value of g in Kepler-12b can be found by replacing its radius and mass in equation 4:

Hence, in Kepler-12b the gravity has a value of

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