I was given this as a solution to my problem, my question is, do you know where the 1000 m/km would have come from?
The problem gave the value of earth's mass, the 500 kg satellite, the gravitational constant and the fact that we are exactly 7 radius lengths from the core (7x6400), for the life of me I can't figure out where the 1000 m/km comes from, it was not given. Is this a constant I'm missing (only R is on bottom?)
The problem gave the value of earth's mass, the 500 kg satellite, the gravitational constant and the fact that we are exactly 7 radius lengths from the core (7x6400), for the life of me I can't figure out where the 1000 m/km comes from, it was not given. Is this a constant I'm missing (only R is on bottom?)
We could have arrived at the same result had we used Newton's law of universal gravitation. In that case, we would have needed to recall the equation and plug in the values provided in the question. The calculation is shown below:
Remember, the SI unit of force is called a newton (N), and 1 N = 1 kgm/s2. Note that it is much quicker to use the simpler, intuitive approach than to risk trying to solve a time-consuming equation.![]()