f) Assume that the space station orbits the Earth with uniform circular motion. This means that themagnitude of the acceleration of the space station is given by a = v²/r. In addition, the net forceon the space station is equal to m,tation*a (Newton's Second Law, as always), and the force onthe space station is F = - G*m,tation*Mearth/r?. Using these equations, we can derive a formula forthe speed of the space station as it orbits Earth:Fnet = m*a (towards centre of earth for uniform circular motion)Inserting Newton's Law of Universal Gravitation and the formula for centripetal acceleration,G*mstation *mearth/r² = mstation*Vstation/r,and dividing both sides by mstation and multiplying both sides by r, we get:G*marth/r = v, and finally we arrive at our formula for the speed of the station,Vstation = V(G*mearth/r), ...note that this is meant to be a square root symbol.Use this equation to calculate the approximate speed of the space station given the distancebetween the centre of the Earth and the space station that you found in part (b). Note that themass of the Earth (mearth) is 5.972 x 1024 kg. Report the speed in units of km/hour. How does thiscompare to the known average speed of the International Space Station, 27600 km/hour? Ifyour result is not reasonably close to the actual speed, try repeating your calculation/check yourwork. Distance from earth to the space station is 6378 kmDistance from earth center to the earth surface is 6798 km

we had already given speed of space station vstation=Gmearthr G is gravitational constant =6.67408…

Use this equation to calculate the approximate speed of the space station given the distance between the centre of the Earth and the space station that you found in part (b). Note that the mass of the Earth (mearth) is 5.972 x 1024 kg. Report the speed in units of km/hour. How does this compare to the known average speed of the International Space Station, 27600 km/hour? If your result is not reasonably close to the actual speed, try repeating your calculation/check your work.

Use this equation to calculate the approximate speed of the space station given the distance between the centre of the Earth and the space station that you found in part (b). Note that the mass of the Earth (mearth) is 5.972 x 1024 kg. Report the speed in units of km/hour. How does this compare to the known average speed of the International Space Station, 27600 km/hour? If your result is not reasonably close to the actual speed, try repeating your calculation/check your work.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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