Question

You weigh 710 N. What would you weigh if the Earth were three times as massive as it is and its radius were five times its present value? Answer in units of N

Answer 1

85.2 N

Step-by-step explanation:

You want to know your weight if the Earth were 3 times as massive and had 5 times the present radius. Your weight is 710 N.

Weight

Your weight is proportional to the mass of the Earth and the square of the radius between your mass and the center of the Earth. The revised dimensions of the earth would multiply your weight by ...

W = k(M/r²) = 710 N

W' = k((3M)/(5r)²) = k(M/r²)(3/25) = (710 N)(3/25) = 82.5 N

Your weight would be 82.5 N.