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100% + D 3 1 m D North Pole Earth ME Figure 1: Suppose a meteorite of mass m struck the Earth (mass ME, radius

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100% + D 3 1 m D North Pole Earth ME Figure 1: Suppose a meteorite of mass m struck the Earth (mass ME, radius TE, and angular speed w) at the equator with speed v with an angle 0 as in Fig. 1. After the collision, the meteorite remained stuck and the angular speed of the Earth (and meteorite) has changed to w + Aw. (a) Find the w component of the total angular momentum before the collision (the w axis is pointing from South Pole to North Pole). (b) Find the w component of the total angular momentum after the collision. (c) Use the angular momentum conservation to show that Aw TEW Sin 0 + 1 1 + 2ME 5m (d) Find the numerical value for Aw/w when m = 5.0 x 1010kg, v = 2.8 x 10*m/s and 0 = 450. [Use ME = 6.0 x 1024kg, TE = 6.4 x 10m, and an appropriate value for w. Show your answer valid to 2 significant figures.] O

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