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Integrated Concepts A large rocket has a mass of 2.00×106

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs ISBN: 9781938168000 42

Solution for problem 45PE Chapter 4

College Physics | 1st Edition

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College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

College Physics | 1st Edition

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Problem 45PE

Problem 45PE

Integrated Concepts A large rocket has a mass of 2.00×106 kg at takeoff, and its engines produce a thrust of 3.50×107 N . (a) Find its initial acceleration if it takes off vertically. (b) How long does it take to reach a velocity of 120 km/h straight up, assuming constant mass and thrust? (c) In reality, the mass of a rocket decreases significantly as its fuel is consumed. Describe qualitatively how this affects the acceleration and time for this motion.

Step-by-Step Solution:

Solution 45PE

We are required to calculate the acceleration of the rocket’s vertical motion. We are also required to calculate the time the rocket would need to attain the given final velocity.

Part a

Step 1 of 3

The rocket takes off vertically. Therefore, the net force on it would be

N

kgNkgm/s2 

m/s2 9.8 m/s2

 m/s2

Therefore, the initial acceleration of the rocket is 7.70 m/s2.



Part b

Step 2 of 3

Chapter 4, Problem 45PE is Solved
Step 3 of 3

Textbook: College Physics
Edition: 1
Author: Paul Peter Urone, Roger Hinrichs
ISBN: 9781938168000

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Integrated Concepts A large rocket has a mass of 2.00×106