by what factor would a person's weight increase if the earth had 10 times its present mass but the same volume? explain your reasoning or show your calculations.

The person's weight increases by 10 times.Since the force is directly proportional to mass, the person would weigh 10 times his or her present weight. If the volume is the same, the distance of the person from Earth’s center would not change.The weight of the person is defined as the product of the mass of the person and the acceleration due to the gravity of that planet.Let the gravity is g.W = m x g     .... (1)Now the value of g depends on the mass of the earth when the radius of the earth is constant.g' = 10 gSo, W' = m x go = m x 10 g = 10 mg = 10 W   (from (1)So, the weight of the person becomes 10 times.Learn more about weight here:-https://brainly.com/question/229459#SPJ4