PI d2 Star P2 A small rock passes a massive star, following the path shown in re

Question

PI d2 Star P2 A small rock passes a massive star, following the path shown in red on the diagram above. When the rock is a distance 3.7e+13 m (indicated as d on the diagram) from the center of the star, the magnitude of its momentum pl ls 1.25e+ 17 kg m/s, and the angle 1s 125 degrees. At a later time, when the rockis a d stance 2 9.25e+ 12 m from the center of the star it is heading in the y direction. There are no other massive objects nearby What is tho D2- kg m/s Additional Materials Section 11.5

Explanation / Answer

Let us use law of conservation of angular momentum,

L2=L1

r2 x p2 = r1 x 1

r2*p2*sin2 = r1*p1*sin1

p2 = (r1*p1*sin1)/(r2*sin2)

Plugging values,

P2=(3.7*10^13*1.25*10^17*sin125)/(9.25*10^12*sin90)

P2=4.1*10^17 Kg*m/s

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