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picklehead7272
30.01.2020 •
Physics
Ihave an astronomy spinning up the solar nebula. the orbital speed of the material in the solar nebula at pluto's average distance from the sun was about 5km/s. what was the orbital speed of this material when it was 40,000 au from the sun (before it fell inward with the collapse of the nebula)? use the law of conservation of angular momentum. i have the angular momentum = m x v x r. is this correct?
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Ответ:
l = m v r
Assuming that no torques act and that angular momentum is conserved then if we compare two epochs "1" and "2"
m_1 v_1 r_1 = m_2 v_2 r_2
Assuming that the mass did not change, conservation of angular momentum demands that
v_1 r_1 = v_2 r_2
or
v1 = v_2 (r_2/r_1)
Setting r_1 = 40,000 AU and v_2 = 5 km/s and r_2 = 39 AU (appropriate for Pluto's orbit) we have
v_2 = 5 km/s (39 AU /40,000 AU) = 4.875E-3 km/s
Therefore, the orbital speed of this material when it was 40,000 AU from the sun is 4.875E-3 km/s.
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Ответ: