Conceptual Physics: The High School Physics Program
Conceptual Physics: The High School Physics Program
9th Edition
ISBN: 9780133647495
Author: Paul G. Hewitt
Publisher: Prentice Hall
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Textbook Question
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Chapter 12, Problem 22A

Students Art, Bart, Cis, and Dot sit on a rotating turntable at different distances from the center as indicated.

(A) Art, m = 60 k g , sits at 1 4 r .

(B) Bart, m = 25 k g , sits at 1 2 r .

(C) Cis, m = 50 k g , sits at 3 4 r .

(D) Dot, m = 20 k g , sits at r.

From greatest to least, rank the angular momenta of the four students.

Expert Solution & Answer
Check Mark
To determine

The rank of the angular momenta of the four students from greatest to least.

Answer to Problem 22A

The rank of the angular momenta of the four students from greatest to least is LC>LD>LA>LB .

Explanation of Solution

Formula used:

The expression for the angular momenta as follows:

  L=mvr

Here, m is the mass, v is the tangential speed, and r is the radius of the curved path.

Calculation:

Find the angular momenta for case A as follows:

  LA=mvArALA=(60 kg)v(r4)LA=15vr

Find the angular momenta for case B as follows:

  LB=mvBrBLB=(25 kg)v(r2)LB=12.5vr

Find the angular momenta for case C as follows:

  LC=mvCrCLC=(50 kg)v(34r)LC=37.5vr

Find the angular momenta for case D as follows:

  LC=mvCrCLC=(20 kg)v(r)LC=20vr

By comparing the values, the angular momenta is LC>LD>LA>LB .

Conclusion:

Thus, the rank of angular momenta of the four students from greatest to least is LC>LD>LA>LB .

Chapter 12 Solutions

Conceptual Physics: The High School Physics Program

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