Suppose the mass of the Earth were tripled, but it kept the same density and spherical shape. How would the weight of objects at the Earth's surface change?

Explanation:

Assume the earth is a sphere

Tripling the mass at the same density will triple the volume.

If R is earth radius

             V = (4/3)πR³

           3V = (4/3)πR₁³

3(4/3)πR³ = (4/3)πR₁³

         3R³ = R₁³

    (∛3)R = R₁

Gravity on earth is

g = GM/R²

Gravity on the new planet is

g₁ = GM₁/R₁²

g₁ = G(3M)/((∛3)R)²

g₁ = 3/(∛3)²GM/R²

g₁ = 3/(∛3)²g

so the weight of objects will be about 1.44 times greater

hypothesising or postulating

elctricity and magnet is conversion to it