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

Question

3 years ago

6

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

1 answer:

damaskus [11] · Answer 1 · 2022-07-20T00:11:47+03:00

Answer: a. Quadruple

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