Problem 21.1 The lunar module is designed to make a safe landing on the moon if its vertical velocity at impact is Vmax ≤ 5 m/s. The acceleration of gravity on the moon is 1/6 the value on earth, gmoon = gearth/6. (a) Using the work-energy principle (conservation of energy), determine the maximum height h above the surface of the moon at which the pilot can safely shut off the engine when the velocity of the lunar module relative to the moon's surface is (i) (ii) (iii) zero; 3 m/s up; and 3 m/s down. (b) Repeat Part (a) only this time use the conservation of linear momentum. Is one approach easier than the other?
Problem 21.1 The lunar module is designed to make a safe landing on the moon if its vertical velocity at impact is Vmax ≤ 5 m/s. The acceleration of gravity on the moon is 1/6 the value on earth, gmoon = gearth/6. (a) Using the work-energy principle (conservation of energy), determine the maximum height h above the surface of the moon at which the pilot can safely shut off the engine when the velocity of the lunar module relative to the moon's surface is (i) (ii) (iii) zero; 3 m/s up; and 3 m/s down. (b) Repeat Part (a) only this time use the conservation of linear momentum. Is one approach easier than the other?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
Transcribed Image Text:Problem 21.1
The lunar module is designed to make a safe landing on the moon if its vertical velocity at impact is Vmax ≤
5 m/s. The acceleration of gravity on the moon is 1/6 the value on earth, gmoon = gearth/6.
(a) Using the work-energy principle (conservation of energy), determine the maximum height h above the
surface of the moon at which the pilot can safely shut off the engine when the velocity of the lunar
module relative to the moon's surface is
(i)
(ii)
(iii)
zero;
3 m/s up; and
3 m/s down.
(b) Repeat Part (a) only this time use the conservation of linear momentum. Is one approach easier than
the other?
Partial Ans: a (i) 7.0 m <h<8.0 m; (ii) 3 m<h <5 m; (iii) 3 m<h <5m
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY