jeremypac8
contestada

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?

Respuesta :

Answer:

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