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Chapter 25: Q. 42 (page 711)

The four 1.0 g spheres shown in FIGURE P25.42 are released simultaneously and allowed to move away from each other. What is the speed of each sphere when they are very far apart?

Short Answer

Expert verified

The value of the speed of each sphere are 0.49m/s

Step by step solution

01

Theory of the speed of each sphere 

The potential energy of each point

Uij=1/(4蟺蔚0)q1qjrijij=1,2.......q1toq4=qr13=2rU=41/(4蟺蔚0qqr+21/(4蟺蔚0(q)(q)2rq=10-18C

The equation of U is applicable for all position of particle with their different distance .

By separation of each charges

r12=10-2cmr13=10-22m

applying all data

U=41/(4蟺蔚0qqr+21/(4蟺蔚0(q)(q)2rU=9.5脳10-5(5.1414)J

02

Definition of the speed of each sphere

Now the kinetic energy for the four charge is

k=412脳10-3kgv2v=0.49m/s

The value of the speed of each sphere are 0.49m/s

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