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Social ScienceA spherical satellite of approximately uniform density with radius 5.4 m and mass 300 kg is originally moving with velocity <2600, 0, 0>m/s, and is originally rotating with an angular speed 2 rad/s, in the direction shown in the diagram. A small piece of space junk of mass 5.1 kg is initially moving toward the satellite with velocity <−2200, 0, 0>m/s. The space junk hits the edge of the satellite as shown in the figure below, and moves off with a new velocity <−1300, 480, 0>m/s. Both before and after the collision, the rotation of the space junk is negligible.What is the rise in the internal energy of the satellite and space junk combined?
A spherical satellite of approximately uniform density with radius 5.4 m and mass 300 kg is originally moving with velocity <2600, 0, 0>m/s, and is originally rotating with an angular speed 2 rad/s, in the direction shown in the diagram. A small piece of space junk of mass 5.1 kg is initially moving toward the satellite with velocity <−2200, 0, 0>m/s. The space junk hits the edge of the satellite as shown in the figure below, and moves off with a new velocity <−1300, 480, 0>m/s. Both before and after the collision, the rotation of the space junk is negligible.
What is the rise in the internal energy of the satellite and space junk combined?
Expert Answer
Given data:
Radius of satellite = 5.4 m
Mass of satellite = 300 kg
Velocity = 2600 m/s
Initial angular speed = 2 rad/s
Mass of junk = 5.1 kg
New velocity = 2200
Total energy of the system after they combined
Image Transcriptionclose
1 E I mv2 + - Mv ....(1) 2 2 where, I is the moment of inertia is the angular momentum mis the mass of satellite M is the mass of junk
Moment of inertia of the satelli...
Image Transcriptionclose
2 5 where m= mass r= radius Plugging in the given values: 2 I -x 300 x (5.4) I 3499.2 kg.m
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