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?

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

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