A spherical satellite of radius 4.8m and mass 205 kg is originally moving with v

Question

A spherical satellite of radius 4.8m and mass 205 kg is originally moving with velocity <2600, 0, 0> m/s, and its originally rotating with an angular speed 2 radians/second, in the direction shown in the diagram. A small piece of space junk of mass 4.1 kg is initially moving towards the satellite with velocity <-2200, 0, 0> m/s. The space junk hits the edge of the satellite at location C as shown, 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.

1.) Final Momentum of the satellite?

2.) Final center-of-mass velocity of the satellite?

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

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

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

6.) Before the collision what is the total kinetic (transitional+rotational) energy of the system?

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

8.) What is the rise in internal energy for the space junk and the satellite combined?

Explanation / Answer

1. Use conservation of momentum. Pfinal=Pinitial therefore, multiply your velocity vectors by their respective masses. Add the two initials together. subtract the final junk momentum vector. and you get your final satellite momentum vector. 2. Divide answer in 1 by mass of satellite.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.