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How much of a single-stage rocket that is $100,000 \mathrm{kg}$ can be anything but fuel if the rocket is to have a final speed of 8.00 $\mathrm{km} / \mathrm{s}$ . given that it expels gases at an exhaust velocity of $2.20 \times 10^{3} \mathrm{m} / \mathrm{s} ?$

$m _ { \mathrm { f } } = 2635 \mathrm { kg }$

Physics 101 Mechanics

Chapter 8

Linear Momentum and Collisions

Moment, Impulse, and Collisions

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Hope College

University of Winnipeg

Lectures

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A single-stage rocket is f…

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Rocket stages A 5000-kg ro…

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Professional Application

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in this problem, you're given a initial mass off 100,000 kilograms, a final velocity of 8000 meters per second and a exhaust velocity of 2.2 times 10 to the third meters per second. You know, we want to know how much mass. After all, this burning is not fuel. So remaining this so in your equations you have your final velocity is equal to your exhaust velocity terms. The natural log of your initial mess divided by your remainder mess. So we want to solve for our remainder mess. We can get the about it by the Yeah, and then we can take both sides to e canceled these two fortunes out and then we can bring em remainder up and then bring this whole e portion down. So our mass remainder is original mess divided by deed to the final velocity divided by exhausted the velocity. So that's 100,000 divided by e to me. Ellison divided by 2.2 times 10 to the third, which gives us a remainder velocity of 2000 634.8 pilgrims

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