hour 4 sol - University of Minnesota Schoolof Physicsand...

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University of Minnesota School of Physics and Astronomy Physics 130L, Section 200, Fall 2008 Name: Student ID No: TA Name: Hour Exam 4: Problem 1 [Friday, November 2L,2008) fPlease do the problem on the front and back of this sheet of paper.] The Earth travels around the Sun in a nearly circular orbit with a radius of L.50 x 1-011 m. The period of the Earth's orbit is one year or 365.24 solar days. The Earth also rotates on its axis in one solar day. The Earth can be simply modeled as a solid, homogenous sphere with a radius of 6378 km and a mass of the Earth is 5.97 x 1024 kg. [aJ What is the orbital angular momentum of the Earth as it travels around the Sun. [10 points) [b) What is the angular momentum of the Earth as it rotates on its axis? (10 points) [c) The Earth's orbital angular momentum and rotational angular momentum can be represented by vectors. The two vectors point generally in the same direction, that is, both the orbital motion and the rotational motion are counter-clockwise, when viewed from the direction of the Earth's or Sun's North Pole. The angle between the two vectors is23.44". What is the Earth's total angular momentum. C r,--r= p1 JT. crt I t l-- | o( \2 : rll 36S. L(l-x 2q K L6oo \4 r^-,rQ \,Lu,-r---l L= LV'J = \"!$I xu.u1*t.qq\xb' Sun =. t.qllxt^ct r*J& ftStu.tne eorlL i"'> " rot',f WV*u J cr QDn .\. , o -L-- f.,\q",^ / r,t = 5,11 x1oz't"SY-c ) b) 61 - $5\ I -- a,.t Lo"ts,",,= ?-6r5 xt"t{o b*'/s* Q,g,uv. . I = T (r r- \ LJ t*, *, = \"-1 g-lt Ts, /tb x1 rys $4 K- ,"11x-ti) - Grrv*{ ,\ n-? , \,1l+Xr,o''' k^ ^nt ) a+ x 36oo I I x,J' T -- l" 3+!x r,o(l \^' -6 .,- ug.oh"W c^ = 1-11 x t= ,oJ/q vu-3 . \ . \ '-' ') ' retp h^5 g"s\iu\ s"$\.".e to != -s 'c'J.21 X u'c' L5 * = 'J.0 6x
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c,cn We fl^-t L.s.t io6x Lr*"^ ^[. .c[- \-- ruft"Ih Sifu viu- ,xrLve g=21,$S" Ak \ng.l" '^1. c-^.*-V.r^o-k
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hour 4 sol - University of Minnesota Schoolof Physicsand...

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