Calculating Mass of Expelled Gas in Space Probe Course Correction

AI Thread Summary
To calculate the mass of gas expelled by a space probe for a course correction, the conservation of momentum principle is essential. The initial momentum of the probe must equal the final momentum after the gas is expelled. By determining the relationship between the probe's initial momentum and the required change in direction, the mass of expelled gas can be calculated. The speed of the expelled gas and the angle of the course correction are critical factors in this calculation. Understanding these concepts will help solve the problem effectively.
Farcry25
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Homework Statement


A space probe with a mass of 7.660 103 kg is traveling through space at 110 m/s. Mission control decides that a course correction of 30.0° is needed and instructs the probe to fire rockets perpendicular to its present direction of motion. If the gas expelled by the rockets has a speed of 3.200 km/s, what mass of gas should be released?


Homework Equations


i don't know that's what i need help on, i have no idea what equations to use for this its the only problem on my home work that makes no sense to me, some one please help me
 
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What method should you approch this question?
 
i have no idea man i know it has something to do with the conservation of momentum but i don't know much more
 
Farcry25 said:
i have no idea man i know it has something to do with the conservation of momentum but i don't know much more

I think you should determined the relationship between the initial momentum and the final momentum and I think from there, you can determine the mass of the expelled gas. Think about the law of conservation for linear momentum.
 

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