Calculating Mass of Expelled Gas in Space Probe Course Correction

[Farcry25]

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

 

[glueball8]

What method should you approch this question?

 

[Farcry25]

i have no idea man i know it has something to do with the conservation of momentum but i don't know much more

 

[pentazoid]

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.