Question

Exoplanets (planets outside our solar system) are an active area of modern research. Suppose astronomers find such a planet that has the same mass as Earth, but has a radius that is about 10% less. Roughly, what acceleration due to gravity would you expect if you were standing on the surface of this new planet?

Answer 1

`g' = 12.11 m/s^2`

Step-by-step explanation:

As we know that the acceleration due to gravity is given as

`g = (GM)/(R^2)`

now for earth we know that

`(GM)/(R^2) = 9.81 m/s^2`

now if on the surface of another planet we know that the mass is same as that the mass of Earth but radius is 10% less than the radius of Earth

so we have

`r = 0.9 R`

so we will have

`g' = (GM)/((0.9R)^2)`

`g' = (GM)/(0.81 R^2)`

`g' = 1.23 * 9.81`

`g' = 12.11 m/s^2`