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You would weigh more, because if the earth had a smaller radius, the gravitational force of attraction would be stronger on the surface.

Isaac newton proved that the gravitational force due to a solid sphere (like earth) of mass M is the same as the force due to a point mass M at the center of the sphere.

If you have mass m, and are standing on the earth at a radius R from the center, Newton's law of gravitation gives us the force of attraction (or weight) between you and the earth:

F = G*m*M/R^2 (G is the gravitational constant)

Now, if the earth's radius is decreased from its current radius of approximately 4000 miles to 1000 miles, everything stays constant except for R, which is decreased by a factor of 4. However, because we divide by R^2, the gravitational force would be 4*4=16 times greater! If you weigh 150lbs on earth, now you would weigh 2400lbs!!!

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Q: If the mass of the earth stayed the same but it had a radius of 1000 miles. you would weigh more or less?
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Related questions

Does the radius of earth effect weight?

Yes, in a way. If the radius of the Earth decreased but it's mass stayed the same, then the forces "pulling" on you (weight) would increase and you would be heavier. If the radius of the Earth increased and the mass stayed the same, then you would be lighter. You would actually weigh less on the top of Mount Everest than on the beach of Honolulu. BTW: This is not a good idea for a weight loss program.


How much would you weigh on jupiter compared to earth?

weight on jupiter=((mass of jupiter)*(Radius of earth)2/(mass of earth)*(Radius of jupiter)2)*weight on earth


If you weigh 220 lbs on earth how much would you weigh 200 miles above the earth?

About 35 pounds.


If on Earth Sara weighs 100 lbs and she moves to a planet that is 5 times larger in radius but has the same mass as Earth how much would she weigh?

Sara would weigh exactly the same as on Earth. The radius of the planet does not make any difference on ones weight. The mass of the planet is the crucial factor.


If at 100000 miles from Earth you weigh 40.0 pounds what would you weigh if you were 50000 miles away from the Earth?

80 poundsThe related link below helps with this sort of question.You weigh what the scales tell you your current weight is.


Do objects on other planets weigh the same as they weigh on Earth?

No. Weight is the measure of how much force a planet pulls an object, that force is determined by the planet's mass and radius, and each planet has a different mass and radius.


How much would a 100 lb person weigh on a planet twice the mass of earth?

That would depend on the planet's radius. The strength of gravity depends on both the mass of the object in question and the distance from its center of mass. If the planet in question had the same radius as Earth, then the person would weigh 200 lbs as gravity would be twice as strong. If the planet had the same density as Earth it would have 1.26 times Earth's radius and gravity would be 1.26 times as strong and the person would weigh 126 lbs. If the planet had about 1.41 times Earth's radius then that person's would weight 100 lbs.


What is the increase in gravity if it continues to contract until it is 1 1000 of the original radius?

If the Earth contracted to 1/1000 of its present radius, with all of its mass still packed inside it, then while standing on the surface of the new, smaller Earth, you would weigh 1 million times as much as you weigh now.


What would a 100 lb man weigh if the earths radius were reduced 50 percent?

If the Earth kept the same mass that it has now, but that same mass got packed into a sphere with 1/2 the present radius, then a man who weighs 100 pounds on Earth now would weigh 400 pounds on the half-sized Earth. If the outer shell of the Earth's mass were removed and discarded, leaving only the mass that's presently inside 1/2 of the Earth's radius, then a man who weighs 100 pounds on Earth now would weigh 50 pounds on the half-sized Earth. (Assuming that the Earth's mass/density is homogeneously distributed.) (This is all my opinion & I could be wrong.)


A space traveler weighs 663 N on Earth What will the traveler weigh on another planet whose radius is 4 times that of earth and whose mass is 4 times that of earth?

2652 N and newtons are a measure of force not weight.


If on Earth Sara weighs 100 lbs and she moves to a planet that is 5 times larger in radius how much would she weigh?

This is not really a question that can be answered given the wording as it stands. A planet's radius has little or nothing to do with its MASS, which is what 'causes' gravity. For example, Jupiter is far larger than the Earth, but because its' mass is so much less (it's mostly gas, actually) scientists know that Jupiter exerts less gravity than the Earth. And if you had a planet that was smaller than the Earth, but much denser, then you would weigh more there than on the Earth.


The weight of an object varies inversely as the square of the distance from the earth's centre. The radius of the earth is 6400km and an astronaut weighs 90kg. What will he weigh 625km above the earth?

Its kinda easy 6400-90kg=6310 divided by 625= 10.1 The weight of the earth would be around 10.1