A spherical satellite of radius 4.6 m and mass M = 205 kg is originally moving w

Question

A spherical satellite of radius 4.6 m and mass M = 205 kg is originally moving with velocity varrowitalicsatellite,i = < 2500, 0, 0 > m/s, and is originally rotating with an angular speed ?1 = 2 radians/second, in the direction shown in the diagram. A small piece of space junk of mass m = 4.3 kg is initially moving toward the satellite with velocity varrowitalicjunk,i = < -2200, 0, 0 > m/s. The space junk hits the edge of the satellite at location C as shown in the diagram, and moves off with a new velocity varrowitalicjunk,f = < -1100, 480, 0 > m/s. Both before and after the collision, the rotation of the space junk is negligible.

After the collision, what is the final momentum of the satellite?

What is the final velocity of the satellite?

Assuming the density of the satellite is uniform throughout, what is the moment of inertia of the satellite? (The moment of inertia of a uniform-density sphere is (2/5)MR2.)

What is the initial rotational angular momentum of the satellite, around location D (its center of mass)?

Explanation / Answer

a. (M * Vsat1)+(m * Vjunki) - (m * Vjunkf)

b. (2/5)(M)(r^2)

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