it would be less than what it was before
Tidal waves
The gravitational pull between earth and the spacecraft will become insignificant.
The earth's constant orbit around the sun is caused by an equilibrium between two forces - the gravitational pull of the sun, and the earth's velocity acting at a right angle to it. If that gravitational pull was suddenly eliminated, the earth would continue onwards in a straight line.
As the moon gets further and further away, the gravitational force between the Earth and the Moon decreases. Because the Moon is not being attracted but being pushed away from the Earth. If the gravitational force would have increased, the moon would come closer and closer to the Earth.
we would probably die
The magnitude of the force would decrease greatly.
The magnitude of the force would decrease greatly.
Tidal waves
Tidal waves
The gravitational pull between earth and the spacecraft will become insignificant.
Nothing, the force in question IS gravitational attraction.
As you get further away from Earth, the gravitational forces between you and Earth decrease. But the gravitational forces between you and something else might increase, like between you and the moon, or between you and the sun.
it would reduce by two squared, which is 4
The force will increase fourfold.
Double
The magnitude of the sum of any two vectors can be anywhere between zero and the sum of their two magnitudes, depending on their magnitudes and the angle between them. When you say "components", you're simply describing a sum of two vectors that happen to be perpendicular to each other. In that case, the magnitude of their sum is Square root of [ (magnitude of one component)2 + (magnitude of the other component)2 ] It looks to me like that can't be less than the the magnitude of the greater component.
The earth's constant orbit around the sun is caused by an equilibrium between two forces - the gravitational pull of the sun, and the earth's velocity acting at a right angle to it. If that gravitational pull was suddenly eliminated, the earth would continue onwards in a straight line.