Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity of the surface of earth is g and that on the surface of the new planet is g', then ..........

Imagine a new planet having the same density as that of earth but it i

1.	Imagine a new planet having the same density as that of earth but it is 3 times bigger than the earth in size. If the acceleration due to gravity of the surface of earth is g and that on the surface of the new planet is g', then ..........
Answer» `g ' = g/9` `g' = 27g` `g' = 9g` `g' = 3g` Solution :`implies`We KNOW that g ` = (GM)/R^2` MASS `M = rho (4/3 piR^3)` , wehre `rho ` = Density `:. G = (G(4/3 pi R^3)rho)/(R^2)` `:. G = 4/3 pi Grrho` `("For NEW PLANET ")/("For earth")=(g.)/(g) =(4/3piGR.rho)/(4/3piGRrho)` For new planent `R. = 3R` `(g.)/g=(3R)/(R) = 3` `:. g. = 3g`