Assume that the earth shrinks but its mass remains the same. What would happent to the value of your weight?

Answer 1

Since weight is a measurement of force, (the english equivalent of the newton), we can talk about the force due to gravity. Let's look at the simple form

Fg= G*m1*m2/(r12^2)

Where G is the gravitational constant, m1 is mass one (lets say your mass), m2 is mass two (the planet), and the r12 is the center to center distance between the two masses.
If the mass of the earth is constant, but the earth is shrinking, effectively the center to center distance is shrinking. This means that r12 is getting smaller, meaning that the force will increase. Therefore, your weight will increase.

Answer 2

Although your mass would remain the same, your weight would increase because you would be closer to the centre of gravity of the earth. Gravitational attraction is inversely proportional to the square of the distance between two bodies, so if the earth shrank to half its original size (radius or diameter) then you would weigh FOUR times your current weight.

Answer 3

Since the force of attraction between two objects varies directly as the product of their masses and inversely as the square of the distance between them, our weight will increase if we become nearer the center of the earth.

Answer 4

since g=GM/R^2 so if earth shrinks the radius decreases and g increases and our wt , mg will increase drastically

Answer 5

It would get very large. You would probably collapse into the new Earth.

Answer 6

It would increase