If we increase the size of earth to eight fold then what will happen to our weight ??

Answer 1

More importantly we would probably fall out of our orbit around the sun,and collide with other planets causing the "bowling ball effect",and we might possibly bowl a perfect game if our sub atomic particle accelerator didn't vaporize.

Answer 2

There are two factors to consider: how much the mass has increased, and how much further it is from the surface to the center of gravity.

Generally, if the ratio m/r^2 stays the same, your weight will not change. On the other hand, if the density of the planet stays the same, you will gain weight. For example, if the radius of the Earth doubles in size and the planet keeps the same density, the mass will increase eight-fold and your weight will double (8/2^2 = 2).

Answer 3

Your weight would increase, as:

Weight = Mass x Gravity

And a larger planet would produce a larger gravitational force. This is due to gravity being 'generated' by every molecule that makes up the earth trying to pull you towards if.

Your weight would not increase by 8x though, as not all of the mass would be trying to pull you straight down. Some of the matter would be pulling you in an angular fashion, and thus only an element of it would be felt a gravitational force (which results in a net downwards force). This can be explained by force triangles, and resultant forces, which are highly documented on the web.

Mathematically the fact that the increase in size compared to gravity not being equal is down to the following formula:

g = G x Mearth / r2

where

g = acceleration due to gravity experianced by a body
G = acceleration due to gravity at the earths surface
Mearth = mass of the earth
r2 = radius of the earth squared

And as the relationship between volume and radius of a sphere is not 1:1, the relationship between mass of the earth and weight cannot be either.

Answer 4

Depends on how you mean "size"

The gravitational force, which relates to "weight", is proportional to the the masses of the two objects.

If the volume of the earth increases by 8X, then the mass increases by the same factor and your weight increases by 8X.

If by size you mean diameter or radius, then the increased volume will mean that the mass of the earth has increased by 512 X (8 cubed), so your weight would increase by 512 X.

On the other hand this might be the typical "trick" physics question. Does the question actually say "weight" or "mass"? If it asks about mass, your mass does not change no matter the size of the earth.

Answer 5

The Relationship Between Gravity and Mass
As stated above, your weight is a measure of the pull of gravity between you and the body you are standing on. This force of gravity depends on a few things. First, it depends on your mass and the mass of the planet you are standing on. If you double your mass, gravity pulls on you twice as hard. If the planet you are standing on is twice as massive, gravity also pulls on you twice as hard.

However the efect of an eight fold increase in earth radius would be to increase the volume by 522 the mass would be increased thus.

So 1 Kg would be 522 kg

Answer 6

Our weight will increase because the earth's gravity will be higher than it is now, and w=mg. However, our mass will remain the same.

Answer 7

Depends, do you increse the mass or the volume?
If you increse the mass by 8 you will weight 8X more!

Volume and mass are not the same thing:
ie: if the earth was made of feathers and would be the same size (volume) its mass would be different (it would weight less)

Answer 8

gain 8 fold

Answer 9

I imagine our weight would increase the same

Answer 10

How would you do that, and if you could why would you do that? There already planets much bigger than earth, why don't you find out what there gravity is in relation to earths?