A rocket of mass 330 kg moves along an x axis at the constant speed v₁ = 25 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 11 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?

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A rocket of mass 330 kg moves along an x axis at
the constant speed v₁ = 25 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 11 m/s.
What are (a) the minimum possible value of final
speed vf of the front section and (b) for what
Vf
limiting value of m₁ does it occur?
Transcribed Image Text:A rocket of mass 330 kg moves along an x axis at the constant speed v₁ = 25 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 11 m/s. What are (a) the minimum possible value of final speed vf of the front section and (b) for what Vf limiting value of m₁ does it occur?
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