1. The use of a "tether sling" is a proposed method for increasing the velocity of a spacecraft for lunar and interplanetary missions. A tether sling between two spacecraft of masses 10,000 kg each is shown below. Assume that each spacecraft's engine provides a 1000 N propulsive force in a direction normal to the sling for 10 seconds. The length 1 of the tether is 100 km during this maneuver. Use the principle of angular momentum and impulse to determine the velocity of the two spacecraft after this time. Determine the velocity of the two spacecraft if the propulsive force is then stopped and the tether is reeled into a length of 100 m. Use the system center of mass G as a reference point for computing angular momentum and moments.

1. The use of a "tether sling" is a proposed method for increasing the velocity of a spacecraft for lunar and interplanetary missions. A tether sling between two spacecraft of masses 10,000 kg each is shown below. Assume that each spacecraft's engine provides a 1000 N propulsive force in a direction normal to the sling for 10 seconds. The length 1 of the tether is 100 km during this maneuver. Use the principle of angular momentum and impulse to determine the velocity of the two spacecraft after this time. Determine the velocity of the two spacecraft if the propulsive force is then stopped and the tether is reeled into a length of 100 m. Use the system center of mass G as a reference point for computing angular momentum and moments.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

1.
The use of a "tether sling" is a proposed method for increasing the velocity of a spacecraft
for lunar and interplanetary missions. A tether sling between two spacecraft of masses 10,000 kg
each is shown below. Assume that each spacecraft's engine provides a 1000 N propulsive force in a
direction normal to the sling for 10 seconds. The length 1 of the tether is 100 km during this
maneuver. Use the principle of angular momentum and impulse to determine the velocity of the
two spacecraft after this time. Determine the velocity of the two spacecraft if the propulsive force is
then stopped and the tether is reeled into a length of 100 m. Use the system center of mass G as a
reference point for computing angular momentum and moments.
G
L

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