Question

if earths mass was cut in half, what would happen to your mass?
decrease because gravitational force increases
decrease because gravitational force decreases
increase because gravitational force increases
nothing, mass is not affected by gravitational force

Explanation:

Mass is a measure of the amount of matter in an object. It is an intrinsic property of the object and does not depend on the gravitational force acting on it. Gravitational force is related to weight (\(F = mg\), where \(F\) is the gravitational force, \(m\) is mass, and \(g\) is the acceleration due to gravity). If Earth's mass changes, the value of \(g\) (which is \(g=\frac{GM}{R^{2}}\), \(G\) is the gravitational constant, \(M\) is Earth's mass, \(R\) is Earth's radius) changes, so weight changes. But mass \(m\) of an object (in this case, "your mass") remains the same as it is independent of gravitational force.

Answer:

nothing, mass is not affected by gravitational force