Is the radius of the earth be increased by a factor of 5?

The radius and mass of earth are increased by 0. 5\%.

What happens to the gravitational field strength as you increase the radius?

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.

What would happen to gravity if the Earth’s radius 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.

How does radius affect gravitational acceleration?

The acceleration due to gravity on the surface of Earth can change in various ways as the earth shrinks. If you look up at the rate of change of g with respect to decrease in R the radius of Earth, it will vary as 1/Radius of the old value ; so the acceleration due to gravity increases with reduction in radius.

What is the acceleration due to gravity at the surface of Mars?

3.72076 ms−2
It is weaker than Earth’s gravity due to the planet’s smaller mass. The average gravitational acceleration on Mars is 3.72076 ms−2 (about 38\% of that of Earth) and it varies.

How does the gravitational field strength about the planet Earth vary with increasing distance?

Just like the gravitational force, the strength of the gravitational field around the Earth decreases as the square of the distance from the center of the Earth. If you are above the surface of the Earth, then r is greater than the Earth’s radius, so the gravitational force (and your weight) would be less.

Is gravitational field strength inversely proportional to radius?

Gravitational field strength is inversely proportional to the square of the distance from the centre of the Earth. You can also write this as: gravitational field strength is proportional to 1r 2, where r is the distance from the centre of the Earth.

What would happen if gravity increased on Earth?

If Earth’s gravity was just 5\% stronger, the increase would warp our planet’s near-perfect circlular orbit into a tighter elliptical path. The Earth’s core would probably just collapse on itself, causing everyone to fall to their deaths, or releasing enough heat to cook us all alive!

What happens if the force of gravity 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. Firstly, your joints and skeleton would strain to support your increased weight. Your muscles would struggle with even small movements.

What are the factors affecting on earth’s gravitational acceleration?

The acceleration due to gravity, g, alters from place to place on the ground. It also changes with the altitude and depth under the earth’s surface. The factors influencing the value of g are the earth’s shape, altitude, and depth under the earth’s surface.

What are the factors that affecting the acceleration due to gravity of earth?

Acceleration due to gravity is minimum at the equator. Acceleration due to gravity is maximum at poles. R is the radius of the earth….g is majorly affected by the following four factors:

• The shape of the Earth.
• Rotational motion of the Earth.
• Altitude above the Earth’s surface.
• Depth below the Earth’s surface.

What happens if the radius of Earth is increased by 3?

If the radius of Earth was to be increased by a factor of 3. By what factor would its density have to be changed to keep the value of ‘g’ the same. G, M, R, ρ and V are Gravitational constant, mass of earth, radius of earth, density of earth and volume of earth respectively.

Why is gravity five times stronger if the Earth is unchanged?

So because of mass, gravitation is increased 125 times, but because of distance, it is reduced by a factor of 25. So if the earth is unchanged, gravity is five times stronger. To maintain the same gravity, the mass of the Earth, and hence its density, needs to be reduced by a factor of five.

What is the acceleration due to gravity on the Earth?

If the radius of the Earth were increased by a factor of 2 and its mass remained the same, then the acceleration due to gravity on the Earth would be: g′ = (2r)2GM = 4r2GM = 4g

Why does the value of G vary across the earth’s surface?

There are slight variations in the value of g about earth’s surface. These variations result from the varying density of the geologic structures below each specific surface location. They also result from the fact that the earth is not truly spherical; the earth’s surface is further from its center at the equator than it is at the poles.