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Introductory Physics Homework Help
What is the maximum mass of a rocket when its momentum and energy are optimized?
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[QUOTE="derrickb, post: 4507678, member: 488320"] Before I ask the question, just want to say hi to everyone and introduce myself. Name's Derrick and I'm a sophomore engineering physics major at WPI. I'm currently in an Intermediate Mechanics course. Onto the problem: [h2]Homework Statement [/h2] A rocket in free space that starts at rest with total mass M ejects exhaust gas at a given speed u. What is the mass of the rocket(including unused fuel) when its momentum is maximum? What is the mass when its energy is maximum? [use E=.5mv^2 for energy] [h2]Homework Equations[/h2] Mv=P E=.5mv[SUP]2[/SUP] v=v0+uln(m0/m) (maybe?) [h2]The Attempt at a Solution[/h2] Mv=0 -m[SUB]exhaust[/SUB]u+(M-m[SUB]exhaust[/SUB])v=0 (M-m[SUB]exhaust[/SUB])v=m[SUB]exhaust[/SUB]u v=(m[SUB]exhaust[/SUB]/(M-m[SUB]exhaust[/SUB]))u I'm stuck here. Do I take the derivative of v? [/QUOTE]
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Introductory Physics Homework Help
What is the maximum mass of a rocket when its momentum and energy are optimized?
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