Engineering Mechanics: Statics & Dynamics (14th Edition)

Published by Pearson
ISBN 10: 0133915425
ISBN 13: 978-0-13391-542-6

Chapter 15 - Kinetics of a Particle: Impulse and Momentum - Section 15.9 - Propulsion with Variable Mass - Problems - Page 311: 140



Work Step by Step

We can determine the required acceleration as follows: We know that: $F_D=m\frac{dv}{dt}-v_{D/e}\frac{dm_e}{dt}+v_{D/i}\frac{dm_i}{dt}$ $55v_{D/i}^2=ma-v_{D/e}\frac{dm_e}{dt}+v_{D/i}\frac{dm_i}{dt}$ We plug in the known values to obtain: $55(200)^2=7000a-(12000)(200+0.8)+(200)(200)$ This simplifies to: $a=24.23m/s^2$
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