Physics: Principles with Applications
Physics: Principles with Applications
6th Edition
ISBN: 9780130606204
Author: Douglas C. Giancoli
Publisher: Prentice Hall
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Chapter 7, Problem 80GP
To determine

The upper limit on mass m .

Expert Solution & Answer
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Answer to Problem 80GP

The upper limit on mass m is 2.33 kg.

Explanation of Solution

Given:

  m=2.20 kg and M=7 kg .

Let A be mass m and B represent mass M . Mass M is at rest initially.

Formula used:

According to the conservation of momentum principle, the total momentum before and after the collision remains constant that is,

  pi=pf

Calculation:

For elastic collision, e=1 . Using this relation, a relationship is set up between the velocities vavb=vb'va' . Since mass M is at rest.

  va'=vb'va

After hitting mass M , mass m will move in backward direction which makes va' negative. For second collision, it is must that mass m goes up the incline in negative direction and then after gaining enough potential energy to gain velocity greater than mass M , mass m will go down the incline with a positive velocity of va' . Thus, va'>vb' or va'<vb' . Now, using the velocity relationship, we get

  vb'va<vb'vb'<12va

Now, using momentum conservation for the original collision and using the above inequality based result.

  mva=mva'+Mvb'mva=m(vb'va)+Mvb'vb'=2mm+Mva2mm+Mva<12va4m<m+Mm<13M

After inserting the mass values, the final result would be

  m<73=2.33kg

Conclusion:

Thus, upper limit of mass m is 2.33 kg.

Chapter 7 Solutions

Physics: Principles with Applications

Ch. 7 - Prob. 11QCh. 7 - Prob. 12QCh. 7 - Prob. 13QCh. 7 - Prob. 14QCh. 7 - Prob. 15QCh. 7 - Prob. 16QCh. 7 - Prob. 17QCh. 7 - Prob. 18QCh. 7 - Prob. 19QCh. 7 - Prob. 1PCh. 7 - Prob. 2PCh. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - Prob. 7PCh. 7 - Prob. 8PCh. 7 - Prob. 9PCh. 7 - Prob. 10PCh. 7 - Prob. 11PCh. 7 - Prob. 12PCh. 7 - Prob. 13PCh. 7 - Prob. 14PCh. 7 - Prob. 15PCh. 7 - Prob. 16PCh. 7 - Prob. 17PCh. 7 - Prob. 18PCh. 7 - Prob. 19PCh. 7 - Prob. 20PCh. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - Prob. 23PCh. 7 - Prob. 24PCh. 7 - Prob. 25PCh. 7 - Prob. 26PCh. 7 - Prob. 27PCh. 7 - Prob. 28PCh. 7 - Prob. 29PCh. 7 - Prob. 30PCh. 7 - Prob. 31PCh. 7 - Prob. 32PCh. 7 - Prob. 33PCh. 7 - Prob. 34PCh. 7 - Prob. 35PCh. 7 - Prob. 36PCh. 7 - Prob. 37PCh. 7 - Prob. 38PCh. 7 - Prob. 39PCh. 7 - Prob. 40PCh. 7 - Prob. 41PCh. 7 - Prob. 42PCh. 7 - Prob. 43PCh. 7 - Prob. 44PCh. 7 - Prob. 45PCh. 7 - Prob. 46PCh. 7 - Prob. 47PCh. 7 - Prob. 48PCh. 7 - Prob. 49PCh. 7 - Prob. 50PCh. 7 - Prob. 51PCh. 7 - Prob. 52PCh. 7 - Prob. 53PCh. 7 - Prob. 54PCh. 7 - Prob. 55PCh. 7 - Prob. 56PCh. 7 - Prob. 57PCh. 7 - Prob. 58PCh. 7 - Prob. 59PCh. 7 - Prob. 60PCh. 7 - Prob. 61PCh. 7 - Prob. 62GPCh. 7 - Prob. 63GPCh. 7 - Prob. 64GPCh. 7 - Prob. 65GPCh. 7 - Prob. 66GPCh. 7 - Prob. 67GPCh. 7 - Prob. 68GPCh. 7 - Prob. 69GPCh. 7 - Prob. 70GPCh. 7 - Prob. 71GPCh. 7 - Prob. 72GPCh. 7 - Prob. 73GPCh. 7 - Prob. 74GPCh. 7 - Prob. 75GPCh. 7 - Prob. 76GPCh. 7 - Prob. 77GPCh. 7 - Prob. 78GPCh. 7 - Prob. 79GPCh. 7 - Prob. 80GPCh. 7 - Prob. 81GP
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