19. Your roommate is playing a video game from the latestCR Star Wars movie while you are studying physics. Distractedby the noise, you go to see what is on the screen. The gameinvolves trying to fly a spacecraft through a crowded field ofasteroids in the asteroid belt around the Sun. You say to him,"Do you know that the game you are playing is very unrealistic?The asteroid belt is not that crowded and you don't have tomaneuver through it like that!" Distracted by your statement,he accidentally allows his spacecraft to strike an asteroid, justmissing the high score. He turns to you in disgust and says,"Yeah, prove it." You say, "Okay, I've learned recently that thehighest concentration of asteroids is in a doughnut-shapedregion between the Kirkwood gaps at radii of 2.06 AU and3.27 AU from the Sun. There are an estimated 10° asteroids ofradius 100 m or larger, like those in your video game, in thisregion ..." Finish your argument with a calculation to showthat the number of asteroids in the space near a spacecraft istiny. (An astronomical unit-AU-is the mean distance of theEarth from the Sun: 1 AU = 1.496× 1011 m.)|

Question

19. Your roommate is playing a video game from the latestCR Star Wars movie while you are studying physics. Distractedby the noise, you go to see what is on the screen. The gameinvolves trying to fly a spacecraft through a crowded field ofasteroids in the asteroid belt around the Sun. You say to him,&#34;Do you know that the game you are playing is very unrealistic?The asteroid belt is not that crowded and you don't have tomaneuver through it like that!&#34; Distracted by your statement,he accidentally allows his spacecraft to strike an asteroid, justmissing the high score. He turns to you in disgust and says,&#34;Yeah, prove it.&#34; You say, &#34;Okay, I've learned recently that thehighest concentration of asteroids is in a doughnut-shapedregion between the Kirkwood gaps at radii of 2.06 AU and3.27 AU from the Sun. There are an estimated 10° asteroids ofradius 100 m or larger, like those in your video game, in thisregion ...&#34; Finish your argument with a calculation to showthat the number of asteroids in the space near a spacecraft istiny. (An astronomical unit-AU-is the mean distance of theEarth from the Sun: 1 AU = 1.496× 1011 m.)|

Accepted Answer

Given:
The radii of Kirkwood gaps are 2.06 AU and 3.27 AU.
The estimated asteroids are 109.
The…