Answered: This is a two-part problem. A rocket,…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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This is a two-part problem. A rocket, fired from rest at time t = 0, has an initial mass of m0 (including fuel). Assuming the fuel is consumed at a constant rate k, the mass m of the rocket, while fuel is being burned, will be given by m0 - kt. It can be shown that if air resistance is neglected and the fuel gases are expelled at a constant speed c relative to the rocket, then the velocity v of the rocket will satisfy the equation m(dv/dt) = ck - mg. In this equation, g is the acceleration due to gravity. I) Find v(t) keeping in mind that the mass m is a function of t. II) Suppose that the fuel accounts for 70% of the initial mass of the rocket and that all of the fuel is consumed at 130 s. Find the velocity of the rocket in meters per second at the instant the fuel is exhausted.

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