Cons of Momentum: Calculating Speeds

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SUMMARY

The discussion focuses on calculating the final speeds of rocket sections post-explosion, specifically addressing a rocket with mass M moving at an initial speed of 40 m/s. The relative speed between the rear section (mass m1) and the front section is established as 20 m/s. Key equations derived include M(40 m/s) = m1vf1 + m2vf2 and m1 + m2 = M; vf2 = (40M + 20m1)/M. The conversation emphasizes the need for clarity in identifying the unknowns and relevant equations to solve for the minimum and maximum final speeds of the front section.

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Homework Statement


A rocket with a mass M moves along an x-axis at the constant speed vi=40 m/s. A small explosion separates the rocket into a rear section (of mass m1) and a front section; both sections move along the x axis. The relative speed between the rear and front sections is 20 m/s. What are (a) the minimum possible value of final speed vf of the front section and (b) for what limiting value of m1 does it occur? (c) What is the maximum possible value of vf and (d) for what limiting value of m1 does it occur?







Homework Equations





The Attempt at a Solution




M(40m/s)=m1fv1f+m2fv2f

which simplifies to v2f=(40M+20mi)/M

Now there is three unknowns...i think its asking for a value though...
 
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Hi kristing! :smile:

You've left out some relevant equations:

m1 + m2 = M; v1 = v2 + 20.

Now try again! :smile:
 

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