Calculating Gas Mass for Spacecraft Course Change

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SUMMARY

The discussion focuses on calculating the mass of gas required for a 7600-kg space probe to change its course by 30 degrees while traveling at 120 m/s. The probe expels gas at an average speed of 3200 m/s. By applying the conservation of momentum principle, participants determine the necessary y-component of velocity to achieve the desired course change. The solution involves constructing a velocity vector and calculating the mass of gas to be expelled based on these parameters.

PREREQUISITES
  • Understanding of conservation of momentum in physics
  • Basic knowledge of vector components and angles
  • Familiarity with rocket propulsion principles
  • Ability to perform calculations involving mass, velocity, and direction
NEXT STEPS
  • Study the principles of conservation of momentum in detail
  • Learn how to construct and analyze velocity vectors
  • Research rocket propulsion and the physics of gas expulsion
  • Explore practical applications of trajectory changes in space missions
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Aerospace engineers, physics students, and anyone involved in spacecraft navigation and propulsion systems will benefit from this discussion.

rubrboots
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Hello

I can't solve this one, can anyone steer me in the right direction.

A 7600-kg space probe is traveling through space at 120 m/s. Mission control determines that a change in course of 30.0° is necessary and instructs the probe to fire rockets perpendicular to its present direction of motion. If the escaping gas leaves the crafts rockets at an average speed of 3200 m/s, what mass of gas should be expelled?

Thanx
 
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rubrboots said:
Hello

I can't solve this one, can anyone steer me in the right direction.

A 7600-kg space probe is traveling through space at 120 m/s. Mission control determines that a change in course of 30.0° is necessary and instructs the probe to fire rockets perpendicular to its present direction of motion. If the escaping gas leaves the crafts rockets at an average speed of 3200 m/s, what mass of gas should be expelled?

Thanx
Assume that the initial direction is along the positive x axis.
Construct a velocity vector that is directed 30 degrees above the x axis.
What y component do you need to get that angle?

Now use conservation of momentum to figure out how much mass of gas must be expelled so that you get the y component that you need.

Pat
 
Thanx nrqed, I think I have it now.
 

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