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Solved: (a) How long would it take a 1.50×105 -kg airplane

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

Solution for problem 41PE Chapter 7

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 41PE

(a) How long would it take a 1.50×105 -kg airplane with engines that produce 100 MW of power to reach a speed of 250 m/s and an altitude of 12.0 km if air resistance were negligible? (b) If it actually takes 900 s, what is the power? (c) Given this power, what is the average force of air resistance if the airplane takes 1200 s? (Hint: You must find the distance the plane travels in 1200 s assuming constant acceleration.)

Step-by-Step Solution:

Problem 41PE

Solution 41 PE

Step 1:

In this question, we need to find time taken by airplane

In the second part , we need to find the power if time taken is

In the third part , with the power obtained in part two, we need to find average force of air

resistance if time taken is

Data given

Mass of airplane

Power

Final velocity

Height

Time taken  

Time taken

Step 2 :

We shall find the work done by the airplane

It is given by

                                

Substituting values we get

                                

                                

                                

Step 3 :

We need to find time taken by airplane

This can be obtained using relation

                        

                                        

Substituting values we get

                        

                                        

                                        

Thus we have time taken as

Step 4 :

we need to find the power if time taken is

        This can be obtained using relation

                        

                                        

Substituting values we get

                        

                                        

                

                                        

                                        

Hence the power required for 900 s is

Step 5 of 7

Chapter 7, Problem 41PE is Solved
Step 6 of 7

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

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Solved: (a) How long would it take a 1.50×105 -kg airplane