How long to fire a small rocket. Impulse problem.

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Homework Help Overview

The discussion revolves around calculating the time required to fire a small rocket with a thrust of 59N to change the velocity of a 74000kg spacecraft by 54cm/s. The problem is situated within the context of impulse and momentum.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between force, mass, and change in velocity, attempting to derive a formula for time based on impulse. Questions arise regarding the initial velocity and its role in the calculations.

Discussion Status

Participants are actively discussing the derivation of the impulse formula and the implications of missing initial velocity information. Some have clarified the change in velocity, while others express uncertainty about specific terms used in the equations.

Contextual Notes

There is a noted lack of initial velocity data, which some participants identify as a potential issue in their calculations. The problem is framed within homework constraints that may limit the information available for solving it.

fanie1031
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1. Small rockets are sued to make small adjustments in the speed of satellites. One such rocket has a thrust of 59N. If it is fired to change the velocity of a(n) 74000kg spacecraft by 54cm/s, howl ong should it be fired? Answer in units of s.


2.
F=deltaP, delta t;
F=mVf-mVi (impulse equals change in momentum);
F=m(delta v,delta t)

So my derivation (if that's a word) is

(m*delta v)/ delta t= net force = mVf-mVi. From there I get the formula in my attempt to solve the problem.


3. I made delta t=mV/F= 74000kg(.054m/s)/ 59N... I think my problem lies in that I don't have the initial velocity... but I'm not sure how to get it.
 
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Oh in 2. It should be F= m(delta v/delta t)
 
fanie1031 said:
1. Small rockets are sued to make small adjustments in the speed of satellites. One such rocket has a thrust of 59N. If it is fired to change the velocity of a(n) 74000kg spacecraft by 54cm/s, howl ong should it be fired? Answer in units of s.


They want the change in velocity to be 54cm/s

and since Ft=mv-mu=m(v-u)

What should v-u be equal to?
 
Dang, I don't know what you mean by u in Ft=mv-mu=m(v-u). The change in velocity is definitely something I missed. THank you for pointing it out.
 
Oh I got it. Thank you. Delta t= m(Vf-Vi)/F.
 

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