What happens to gravity when radius is doubled?

What happens to gravity when radius is doubled?

Doubling the mass of the Earth would double your weight, since gravitational force is directly proportional to mass, but doubling the radius (which doubles if the diameter doubles) would decrease your weight by a factor of 1/4, since gravitational force is inversely proportional to the square of the radius.

What happens to gravity if radius increases?

E14. The force of gravity is give by F=GMm/r2. Therefore if the radius of the Earth (r) is increased, the force of gravity (and hence your weight) will decrease. Similarly, if the radius of the Earth is shrunk (r smaller) then your weight would increase.

How does radius affect gravitational force?

Therefore, the surface gravity of a planet or star with a given mass will be approximately inversely proportional to the square of its radius, and the surface gravity of a planet or star with a given average density will be approximately proportional to its radius.

What would happen if the Earth’s radius was doubled?

If we assume that the density of the Earth stays the same, then doubling the radius increases the planet’s mass eight-fold. Surface gravity is now doubled, so most plants and trees promptly fall over.

What will happen if gravity is doubled?

Doubling gravity would put your body under a great deal of stress and could be fatal if you were exposed to it for a protracted period. Stronger gravity would cause blood to pool in your extremities, making your heart work extra hard to keep the blood pumping around your body.

What if gravity was 2x stronger?

If Earth’s diameter were doubled to about 16,000 miles, the planet’s mass would increase eight times, and the force of gravity on the planet would be twice as strong. If gravity were twice as strong , bodies possessing the same construction and mass as our flora and fauna would weigh twice as much and would collapse.

How is the gravitational force between two masses affected if the separation between them is doubled?

So as two objects are separated from each other, the force of gravitational attraction between them also decreases. If the separation distance between two objects is doubled (increased by a factor of 2), then the force of gravitational attraction is decreased by a factor of 4 (2 raised to the second power).

How does mass and distance affect the force of gravity?

The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between objects.

What happens to the force of gravitation if mass of both objects doubled?

Because when objects are big enough in comparison to the distance between them, then question arises that from which points inside the objects distance is to be taken except in the case if they are in spherical shape and are homogeneous in mass distribution.Also if the distance between the objects is too large in comparison t

What happens if the distance between two objects is doubled?

So if the distance between two objects is doubled then the gravitational force of attraction between them is reduced to one fourth of its original value. Similarly f the distance between two objects is tripled , then the gravitational force of attr (ii) The force F is inversely proportional to the distance between the objects.

What happens if the radius of the Earth is doubled?

The radius of the Earth is roughly 3,959 miles so if you were to double that the radius of the Earth would be 7,918 miles. This translates into volumes of about 2.6×10^11 and 2.08×10^12 (an increase by a factor of 8) square miles respe…

What happens when the radius of an object increases?

If the radius increased without an increase in mass the gravity would most likely decrease slightly as the density decreases. However, if the radius increased along with the mass, with no change to density, then there would be a significant increase in gravity.