Suppose that we replace the aluminum with a mystery metal and repeat the experiment in the video. As in the video, the mass of t
1 answer:
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Answer:
Explanation:
The gravitational force a satellite of mass m orbiting the Earth of mass at a radius equal to the radius of the Earth
is:
Where is the gravitational constant.
Newton's 2nd Law tells us that this satellite of mass m under the mentioned force F will experiment an acceleration given by F=ma.
This acceleration is a centripetal acceleration, so we can use the formula:
The velocity will be given by the relation between the circumference of the orbit and the time taken, that is, v=C/t, and we know that the circumference is .
We can put everything together now:
Substituting our values we have:
Which are more than 84 minutes. For reference, the ISS has a period of almost 93 minutes, so we know the result makes sense (and the equation will give us this result considering it orbits 408Km above Earth's surface).