Newton's second law, the law of universal gravitation and the centripetal acceleration allows to find the correct answer for the question about the speed of the satellite is:
c) The speed of satellite is: 7287 m/s
<h3>Law of Universal Gravitation and Newton's Second Law.
</h3>
Newton's second law states that the force on a body is proportional to the product of the mass times the acceleration of the body and the attraction between the bodies is expressed in the law of universal gravitation
F= ma
F =
Where f is the force, m and M the mass of each body, the acceleration and r the distance between them.
Let's substitute.
The centripetal acceleration is the acceleration towards the center of the movement, it is given by the relation.
Where a is the acceleration, v is the tangential speed and r the radius of the circle
Let's substitute.
![G \frac{M}{r^2} = \frac{v^2}{r} \\v= \sqrt{\frac{GM}{r} }](https://tex.z-dn.net/?f=G%20%5Cfrac%7BM%7D%7Br%5E2%7D%20%3D%20%5Cfrac%7Bv%5E2%7D%7Br%7D%20%20%5C%5Cv%3D%20%5Csqrt%7B%5Cfrac%7BGM%7D%7Br%7D%20%7D)
indicate that the radius of the orbit is r= 7500000m = 7.5 10⁶ m
Let's calculate.
v= 7,287 10³ m/s
When reviewing the answers, the correct result is:
c) the speed is: 7287 m/s
In conclusion using Newton's second law, the law of universal gravitation and the centripetal acceleration we can find the correct result for the question about the speed of the satellite is:
c) the speed is: 7287 m/s
Learn more about the law of universal gravitation and centripetal acceleration here: brainly.com/question/14113448