Question

Two artificial satellites of equal masses are in circular orbits of radii r1 and r2 around the Earth. The second has an orbit of larger radius than the first (r2 > r1). What is the speed of each? What is the angular momentum of each? Which has the larger speed? Which has the larger angular momentum?

          Two artificial satellites of equal masses are in circular orbits of radii r1 and r2 around the Earth. The second has an orbit of larger radius than the first (r2 > r1). What is the speed of each? What is the angular momentum of each? Which has the larger speed? Which has the larger angular momentum?
        
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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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Two artificial satellites of equal masses are in circular orbits of radii r1 and r2 around the Earth. The second has an orbit of larger radius than the first (r2 > r1). What is the speed of each? What is the angular momentum of each? Which has the larger speed? Which has the larger angular momentum?
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Transcript

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00:01 In this problem, we're given two artificial satellites with equal masses in circular orbits around the earth.
00:08 Okay, we're also given that r2 is greater than r1.
00:12 So if this is our earth, then we have two orbits.
00:16 Here's orbit one, orbit two.
00:19 This is r1, and this could be r2.
00:23 Now, we want to set our centripetal force equal to our gravitational force, and doing so we find our initial speed to be, g times the mass of the earth divided by the radius.
00:36 So as we can see our speed is proportional to one over the square root of the radius.
00:43 But since r2 is greater than r1, then that means v0 2 is less than v0 for 1...
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