small, spherical asteroid of mass 6500000 kg and radius 7.6 m is stationary. The unsuspecting space rock is tangentially impacted by a Tesla roadster (mass 1320 kg) going 119000 km/h. In the following questions, assume the asteroid is uniform density and the coordinate system is set at the center of the asteroid, with the z direction aligned with its rotation axis post-impact. a) What is the magnitude of the car's linear momentum? Icarl kg m/s b) What is the magnitude of the angular momentum of the car relative to the rotation axis of the asteroid just before impact? carl- kg m²/s c) After impact, assume the car sticks to the side of the asteroid, and treat it as a point mass. If angular momentum is conserved, what is the final angular velocity of the asteroid? rad/s

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A small, spherical asteroid of mass 6500000 kg and radius 7.6 m is stationary. The unsuspecting space rock is tangentially impacted by a Tesla roadster (mass 1320 kg) going 119000 km/h.
In the following questions, assume the asteroid is uniform density and the coordinate system is set at the center of the asteroid, with the z direction aligned with its rotation axis post-impact.
a) What is the magnitude of the car's linear momentum?
IP carl
| carl
=
b) What is the magnitude of the angular momentum of the car relative to the rotation axis of the asteroid just before impact?
wf =
kg m/s
=
kg m²/s
c) After impact, assume the car sticks to the side of the asteroid, and treat it as a point mass. If angular momentum is conserved, what is the final angular velocity of the asteroid?
rad/s
Transcribed Image Text:A small, spherical asteroid of mass 6500000 kg and radius 7.6 m is stationary. The unsuspecting space rock is tangentially impacted by a Tesla roadster (mass 1320 kg) going 119000 km/h. In the following questions, assume the asteroid is uniform density and the coordinate system is set at the center of the asteroid, with the z direction aligned with its rotation axis post-impact. a) What is the magnitude of the car's linear momentum? IP carl | carl = b) What is the magnitude of the angular momentum of the car relative to the rotation axis of the asteroid just before impact? wf = kg m/s = kg m²/s c) After impact, assume the car sticks to the side of the asteroid, and treat it as a point mass. If angular momentum is conserved, what is the final angular velocity of the asteroid? rad/s
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