Main Menu Contents GradesCourse Contents » Problem Set #7✨ (due Mon 11/14) » Three Ellipses BAsteroids X, Y, and Z have equal mass of 6.0 kg each. They orbit around a planet with M =are in the plane of the paper and are drawn to scale.nXSThe three asteroids orbit in the same counterclockwise direction.The angular velocity of Z at r is .... that at i.The angular velocity of X at s is .... that at e.The period of Z is .... that of Y.The angular momentum of Z at i is .... that at s.• The angular velocity of Z at s is .... that of X at s.The angular momentum of X is .... that of Z.The period of X is .... that of Z.Tries 0/12Submit AnswerTimerNotesFeedbackEvaluate3.20×1024 kg. The orbitsPrint

Given,3 Asteroids X, Y and Z have equal masses of 6 kg each.Mass of the planet, M = 3.2×1024 kg1) The angular velocity of Z at r is —that at i,We know, the angular momentum of asteroid is conserved throughout the path,Lr=LimVrrr=mViriwe know, rr<riSo, Vr>ViTherefore, The angular velocity of Z at r is greater than that at i.2) The angular velocity of X at s is —that at e,we know for X the path is circular,so, rs= rewe know angular momentum is conserved, so, Ls= Lemvsrs=mveresince, rs=revs=veThe angular velocity of X at s is equal to that at e.3) The period of Z is —that of Y,we know, time period equation,T2=4π2GMa3, where a is the semi-major axisFrom figure, aZ<aY⇒TZ<TYThe period of Z is less than that of Y.4)The angular momentum of Z at i is —that at s,The angular momentum of asteroid is conserved, so,The angular momentum of Z at i is equal to that at s. 5) The angular velocity of Z at s is —that of X at s,The angular velocity of Z at s is smaller than that of X at s,6) The angular momentum of X is —that of ZThe angular momentum for elliptical orbit is,Lellipse=mGM(b2)2aThe eccentricity of circular orbit is zero. For an elliptical orbit 0<e<1,so, the Lellipse will be lower.so, The angular momentum of X is greater than that of Z.7) The time period of X is —that of ZBoth of them the semi major axis is same, aZ=aXSo, Time period of X is equal to that of Z.

Answered: Asteroids X, Y, and Z have equal mass…

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Asteroids X, Y, and Z have equal mass of 6.0 kg each. They orbit around a planet with M = 3.20×1024 kg. The orbits are in the plane of the paper and are drawn to scale. V