Show us what you have tried. Maybe we can help you figure it out.Nikola said:Homework Statement
Scientist want to put a satellite into an orbit where the gravitational field of Earth is half its value at Earth's surface. The altitude of this orbit above the Earth's surface will be
A.3R B. √2R-R C. 4R D.√2R
Homework Equations
Fg∝1/r^2
The Attempt at a Solution
I know it is D. but i couldn't figure out how.
Here's how to use Latex to type formulas here https://www.physicsforums.com/threads/physics-forums-faq-and-howto.617567/#post-3977517Nikola said:i tried using the equation
According to Newton's law of universal gravitation, the force of gravity between two objects is directly proportional to the product of their masses. This means that as the mass of one object increases, the force of gravity also increases.
The equation for calculating the proportionality of gravitational fields is F = G(m1m2)/r^2, where F is the force of gravity, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them.
The proportionality of gravitational fields is inversely proportional to the square of the distance between two objects. This means that as the distance between two objects increases, the force of gravity decreases.
The gravitational constant, denoted by G, is a value that determines the strength of the gravitational force between two objects. It is a constant value that does not change and is crucial in calculating the force of gravity between objects of different masses and at different distances.
The proportionality of gravitational fields is related to the motion of objects through Newton's laws of motion. The force of gravity, which is proportional to the masses of two objects, can cause objects to accelerate towards each other and change their motion. This is seen in the orbits of planets around the sun, where the force of gravity keeps them in their circular paths.