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

as we probably am aware that our atmosphere or air have various levels, each level has different gasses, and each gas has another porousness. at the point when the light originates from lower porousness to higher penetrability, it alters its course. with the goal that implies that when the light originates from the moon to the earth, it alters it's course a lot more occasions. it essentially implies that the state of the light piece of the moon is changed on the earth.

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