joe426 said:Homework Statement
Homework Equations
F = G(m1m2/r2)
The Attempt at a Solution
Well the height of Mt. Everest is 8,848 m. And I'm guessing the no atmosphere and not turning on an axis is just to setup the ideal problem. But from there I don't know how to set up the equation so that the satellite is placed into orbit.
gneill said:
joe426 said:
gneill said:
joe426 said:
An orbit is the curved path that an object takes around a larger object, such as a planet or a star, due to the force of gravity.
The speed of a satellite directly affects the shape and size of its orbit. An increase in speed will cause the satellite to move into a higher orbit, while a decrease in speed will cause it to move into a lower orbit.
The speed of a satellite and the force of gravity are inversely proportional. This means that as the speed of a satellite increases, the force of gravity pulling it towards the center of its orbit decreases.
A satellite needs to be traveling at a certain speed, known as orbital velocity, in order to balance the force of gravity pulling it towards the center of its orbit. If the satellite is not traveling at this speed, it will either crash into the larger object or fly off into space.
The speed required for a satellite to enter orbit is determined by the mass of the larger object, the distance between the satellite and the larger object, and the gravitational constant. These factors can be calculated using the formula for orbital velocity: v = √(G M / r), where v is the orbital velocity, G is the gravitational constant, M is the mass of the larger object, and r is the distance between the satellite and the larger object.