Question

If your mass, the mass of Earth, and the mass of everything in the solar system were twice as much as it is now, yet everything stayed the same size, your weight on Earth woulda. quadruple. b. be the same. c. double. d. be eight times as much as now. e. none of the above

Answer 1

Answer: a. Quadruple

Step-by-step explanation:

Gravitational force = Gm1m2/r^2

(Where m1 is the mass of earth, m2 is my mass and r is the radius of earth and G is the gravity constant)

Weight = m2g

(Where g is the acceleration due to gravity)

Gm1m2/r^2 = m2g

Twice the masses

F = G(2m1)(2m2)/r^2

F = 4Gm1m2/r^2

The gravitational force has increased 4 times, this means that my weight on earth will quadruple