Question

A spherical satellite of radius 4.8 m and mass M = 210 kg is originally moving with velocity _satellite,i = < 2800, 0, 0 > m/s, and is originally rotating with an angular speed ω₁ = 2 radians/second, in the direction shown in the diagram. A small piece of space junk of mass m = 3.9 kg is initially moving toward the satellite with velocity _junk,i = < -2600, 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 _junk,f = < -1100, 510, 0 > m/s. Both before and after the collision, the rotation of the space junk is negligible.

MOMENTUM
After the collision, what is the final momentum of the satellite?
_satellite,f = _____ kg · m/s

What is the final velocity of the satellite?
_satellite,f = _____ m/s

ANGULAR MOMENTUM
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.)

I = _____kg · m²

What is the initial rotational angular momentum of the satellite, around location D (its center of mass)? (Be sure your signs are correct).
_satellite,i = _____kg · m²/s

An instant before the collision, when the space junk is almost at location C, what is the translational angular momentum of the space junk about location D?

_junk,i = ____ kg · m²/s

An instant after the collision, when the space junk is just slightly beyond location C, what is the translational angular momentum of the space junk about location D?

_junk,f = _____ kg · m²/s

At the same instant after the collision, what is the rotational angular momentum of the satellite?

_satellite,f = ______kg · m²/s

What is the new angular speed of the satellite?
= ____ radians/s

In what direction is the satellite now rotating?

a. counterclockwise b.clockwise c.not rotating

ENERGY
Consider a system consisting of both objects (space junk and satellite).

Before the collision, what was the total kinetic energy (translational + rotational) of the system?

K_i = ___ joules

After the collision, what is the total kinetic energy of the system?

K_f = ___ joules

What was the rise in thermal energy for the space junk and satellite combined? (Your answer will be judged correct if it is consistent with earlier work, even if there were mistakes in the earlier work -- "propagation of errors".)

ΔE_thermal = ____ joules

Answer 1