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This question is about the rocket flight example from section 3.7 of the notes. Suppose that a rocket is launched vertically and it is known that the exaust gases are emitted at a constant velocity of 20 m/s relative to the rocket, the initial mass is 2 kg and we take the acceleration due to gravity to be 9.81 ms-2 (a) If it is initially at rest, and after 0.2 seconds the vertical velocity is 1.05 m/s, then what is a, the rate at which it burns fuel, in kg/s ? Enter your answer to 2 decimal places. Number (b) How long does it take until the fuel is all used up? Enter in seconds correct to 2 decimal places. Number (c) If we assume that the mass of the shell is negligible, then what height would we expect the rocket to attain when all of the fuel is used up? Enter an answer in metres to decimal places. (Hint: the solution of the DE doesn't apply when m(t) = 0 but you can look at what happens as m(t) → 0. The limit lim, lnx = 0 may be useful). Enter in metres (to the nearest metre) Number +0+2

This question is about the rocket flight example from section 3.7 of the notes. Suppose that a rocket is launched vertically and it is known that the exaust gases are emitted at a constant velocity of 20 m/s relative to the rocket, the initial mass is 2 kg and we take the acceleration due to gravity to be 9.81 ms-2 (a) If it is initially at rest, and after 0.2 seconds the vertical velocity is 1.05 m/s, then what is a, the rate at which it burns fuel, in kg/s ? Enter your answer to 2 decimal places. Number (b) How long does it take until the fuel is all used up? Enter in seconds correct to 2 decimal places. Number (c) If we assume that the mass of the shell is negligible, then what height would we expect the rocket to attain when all of the fuel is used up? Enter an answer in metres to decimal places. (Hint: the solution of the DE doesn't apply when m(t) = 0 but you can look at what happens as m(t) → 0. The limit lim, lnx = 0 may be useful). Enter in metres (to the nearest metre) Number +0+2

College Physics
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 question is about the rocket flight example from section 3.7 of the notes. Suppose that a rocket is launched vertically and it is known that the exaust gases are emitted at a constant velocity of 20 m/s relative to the rocket, the initial mass is 2 kg and we take the acceleration due to gravity to be 9.81 ms s-2 (a) If it is initially at rest, and after 0.2 seconds the vertical velocity is 1.05 m/s, then what is cx, the rate at which it burns fuel, in kg/s ? Enter your answer to 2 decimal places. Number (b) How long does it take until the fuel is all used up? Enter in seconds correct to 2 decimal places. Number (c) If we assume that the mass of the shell is negligible, then what height would we expect the rocket to attain when all of the fuel is used up? Enter an answer in metres to decimal places. (Hint: the solution of the DE doesn't apply when m(t) = 0 but you can look at what happens as m(t) →0. The limit lim, lnx = 0 may be useful). Enter in metres (to the nearest metre) Number +0+x
Transcribed Image Text:This question is about the rocket flight example from section 3.7 of the notes. Suppose that a rocket is launched vertically and it is known that the exaust gases are emitted at a constant velocity of 20 m/s relative to the rocket, the initial mass is 2 kg and we take the acceleration due to gravity to be 9.81 ms s-2 (a) If it is initially at rest, and after 0.2 seconds the vertical velocity is 1.05 m/s, then what is cx, the rate at which it burns fuel, in kg/s ? Enter your answer to 2 decimal places. Number (b) How long does it take until the fuel is all used up? Enter in seconds correct to 2 decimal places. Number (c) If we assume that the mass of the shell is negligible, then what height would we expect the rocket to attain when all of the fuel is used up? Enter an answer in metres to decimal places. (Hint: the solution of the DE doesn't apply when m(t) = 0 but you can look at what happens as m(t) →0. The limit lim, lnx = 0 may be useful). Enter in metres (to the nearest metre) Number +0+x
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