cinsider a planet in some solar system which has mass double the mass of earth and density equal to average - Science - Gravitation

Question

cinsider a planet in some solar system which has mass double the
mass of earth and density equal to average density of earth if an
object weights W on earth ,its weight on the planet will be?

Vara · Accepted Answer

Relation between masses:

The mass of the planet is twice to that of earth

mp=2meρ43πrp3=2ρ43πre3 rp3=2re3 rp=21/3re

Acceleration due to gravity:

g=Gmr2gpge=mpmererp2 =2memere21/3re2 =2122/3 =21/3

Relation between weights:

WpWe=mgpmge =gpge =21/3Wp=21/3We =21/3W

cinsider a planet in some solar system which has mass double the mass of earth and density equal to average density of earth . if an object weights W on earth ,its weight on the planet will be?