Rocket thrust, mass, speed given initial m and fuel consumption rate?

Click For Summary

Homework Help Overview

The problem involves a rocket in deep space, initially at rest, with specific parameters related to its mass, fuel consumption rate, and exhaust velocity. The questions focus on calculating the thrust, mass after fuel consumption, and final speed after a given time of engine firing.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of Newton's second law and the momentum integral to find thrust and changes in mass and speed. There are hints regarding the units of force and suggestions to consider formulas for variable mass systems.

Discussion Status

Some participants have provided hints and approaches for calculating thrust and mass changes, while others express uncertainty about how to begin solving the questions. Multiple methods are being explored without a clear consensus on the best approach.

Contextual Notes

Participants are working under the constraints of the problem's parameters and are questioning the assumptions related to thrust calculation in a variable mass system.

rockchalk1312
Messages
38
Reaction score
0
A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 59.5E5 kg, of which 7.39E5 kg is fuel. The rocket engine is then fired for 300 s, during which fuel is consumed at the rate of 480 kg/s. The speed of the exhaust products relative to the rocket is 3.55 km/s.
(a) What is the rocket's thrust? After the 300 s firing, what are (b) the mass and (c) the speed of the rocket?

F=ma

Found mass by doing (300s)(480kg/s)=144000kg
Subtracted from 59.5E5-144000=5.81E6 kg

But I have no idea where to start on a and c. Thank you!
 
Physics news on Phys.org
A hint for question a). Think about the units in Newtons equation..

Force = mass * acceleration

The units are..

= Kg * m/s^2

rearrange that a bit.
 
rockchalk1312 said:
A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 59.5E5 kg, of which 7.39E5 kg is fuel. The rocket engine is then fired for 300 s, during which fuel is consumed at the rate of 480 kg/s. The speed of the exhaust products relative to the rocket is 3.55 km/s.
(a) What is the rocket's thrust? After the 300 s firing, what are (b) the mass and (c) the speed of the rocket?

F=ma

Found mass by doing (300s)(480kg/s)=144000kg
Subtracted from 59.5E5-144000=5.81E6 kg

But I have no idea where to start on a and c. Thank you!

I would use the momentum integral: ∫Fdt = Δp.
 
rude man said:
I would use the momentum integral: ∫Fdt = Δp.

And I would use a direct formula for calculating thrust in a variable mass system: Mass rejection... :-p
 
sankalpmittal said:
And I would use a direct formula for calculating thrust in a variable mass system: Mass rejection... :-p

Chaqu'un a son gout ...
 

Similar threads

  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 42 ·
2
Replies
42
Views
6K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
9
Views
4K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 8 ·
Replies
8
Views
4K
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K