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Rocket Science

by TheShapeOfTime
Tags: rocket, science, solved
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TheShapeOfTime
#1
Nov7-04, 10:57 AM
P: n/a
"Calculate the speed acquired by a rocket whose mass varies as it burns up fuel."

Is there any way I could make up a semi-realistic problem relating to the above quote and solve it with logarithms?
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mathlete
#2
Nov7-04, 11:34 AM
P: 151
[tex]F=ma[/tex]
[tex]F=m\frac {dv}{dt}[/tex]
[tex]\frac {F}{m} = \frac {dv}{dt}[/tex]
[tex]\int \frac {F}{m}dt = \int \frac {dv}{dt}[/tex]
[tex]v=\int \frac {F(t)}{m(t)}dt[/tex]
Not sure if that answers your question
TheShapeOfTime
#3
Nov7-04, 11:42 AM
P: n/a
I'm only in grade 11 and haven't done any calculus. Is there any way to make any sort of problem for this that only includes Logarithms?

#4
Nov7-04, 10:18 PM
P: 68
Rocket Science

Quote Quote by mathlete
[tex]F=ma[/tex]
[tex]F=m\frac {dv}{dt}[/tex]
[tex]\frac {F}{m} = \frac {dv}{dt}[/tex]
[tex]\int \frac {F}{m}dt = \int \frac {dv}{dt}[/tex]
[tex]v=\int \frac {F(t)}{m(t)}dt[/tex]
Not sure if that answers your question
Isn't force the derivative of momentum such that you would have to include the [itex]v\frac{dm}{dt}[/itex] term as well?


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