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
Messages
4
Reaction score
0

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
 
Physics news on Phys.org
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.
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Solve Momentum Problem: Mass of Gas for Course Correction of 30 Degrees
Replies
5
Views
2K
How Much Gas Must a Space Probe Expel to Alter Its Course by 30 Degrees?
Replies
20
Views
6K
Calculating Gas Mass for Spacecraft Course Change
Replies
2
Views
3K
How Do You Calculate Momentum for a Falling Dancer and a Space Probe?
Replies
4
Views
7K
Calculating Mass of Gas Needed to Correct Rocket's Course
Replies
2
Views
6K
Forces - Space Shuttle Takeoff Calculations
Replies
22
Views
2K
How Much Gas Must a Rocket Expel to Alter Its Course by 23 Degrees?
Replies
1
Views
1K
Calculating Space Probe Speed for Escape Velocity
Replies
2
Views
2K
Solving Physics Problem: Mass of Gas Expelled for 7600kg Space Probe
Replies
6
Views
3K
How Do You Calculate Slingshot Maneuver Dynamics for a Space Probe?
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top