Consider a heavenly body that has mass 2Me and radius 2Re, where Me and Re are the mass and the - Science - Metals and Non-metals

Question

Consider a heavenly body that has mass 2M e and
radius 2R e , where M e and
R e are the mass and the radius of the earth
respectively The acceleration due to gravity at the surface of this
heavenly body is
(a) 2 45 m/s2 (b) 4 9 m/s2 (c) 9 8
m/s2 (d) 19 6 â€‹m/s2

Pintu B. · Accepted Answer

Dear Student ,
Here in this case we know that the acceleration due to gravity on
the surface of earth is ,
ge=GMeRe2=9·8 m/s2Now when the the mass is M=2Me and radius is R=2Re then the acceleration due to gravity on the surface of the heavenly body is ,g'=G×2Me4Re2=12GMeRe2=ge2=9·82=4·9 m/s2
So b is the correct answer
Regards

Consider a heavenly body that has mass 2M e and radius 2R e , where M e and R e are the mass and the radius of the earth respectively. The acceleration due to gravity at the surface of this heavenly body is (a) 2.45 m/s2 (b) 4.9 m/s2 (c) 9.8 m/s2 (d) 19.6 ​m/s2

Consider a heavenly body that has mass 2M _e and radius 2R _e , where M _e and R _e are the mass and the radius of the earth respectively. The acceleration due to gravity at the surface of this heavenly body is
(a) 2.45 m/s² (b) 4.9 m/s² (c) 9.8 m/s² (d) 19.6 m/s²