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HW04solutions

# HW04solutions - 26.14 Model Model the plastic spheres as...

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26.14. Model: Model the plastic spheres as point charges. Visualize: Solve: (a) The charge q 1 = 50.0 nC exerts a force 1 on 2 F G on q 2 = 50.0 nC to the right, and the charge q 2 exerts a force 2 on 1 F G on q 1 to the left. Using Coulomb’s law, ( )( )( ) () 92 2 9 9 12 1 on 2 2 on 1 2 2 2 12 9.0 10 N m /C 50.0 10 C 50.0 10 C 0.056 N 2.0 10 m Kq q FF r −− ×× × == = = × (b) The ratio is ( ) 1 on 2 32 0.056 N 2.9 2.0 10 kg 9.8 m/s F mg ×

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26.16. Model: Charges A, B, and C are point charges. Visualize: Please refer to Figure EX26.16. Charge A experiences an electric force B on A F G due to charge B and an electric force C on A F G due to charge C. The force B on A F G is directed to the right and the force C on A F G is directed to the left. Solve: Coulomb’s law yields: ( )( )( ) () 92 2 9 9 5 B on A 2 2 9.0 10 N m /C 1.0 10 C 1.0 10 C 9.0 10 N 1.0 10 m F −− ×× × == × × ( )( )( ) 2 9 9 5 C on A 2 2 1.0 10 C 4.0 10 C 2.0 10 m F × × × The net force on A is ( ) ( )( ) 55 on A B on A C on A ˆˆ 0 N FF F i i =+= × + × = GG G
26.26. Model: A field is the agent that exerts an electric force on a charge. Visualize: Solve: (a) To balance the gravitational force on a proton () ( ) net on p p 0 G y FFF Σ =− = G G N. This means ( ) 27 7 on p 19 p 1.67 10 kg 9.8 N/kg 1.02 10 N/C 1.60 10 C G mg FF q E m g E q × =⇒ = = = = × × Because F on p must be upward and the proton charge is positive, the electric field at the location of the proton must also be pointing upward. Thus ( ) 7 1.02 10 N/C, downward . E G (b) In the case of the electron, ( ) 31 11 19 9.11 10 kg 9.8 N/kg 5.58 10 N/C 1.60 10 C mg E q × == × Because F on e must be upward and the electron has a negative charge, the electric field at the location of the electron must be pointing downward. Thus ( ) 11 5.58 10 N/C, downward . E G

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26.28. Model: The electric field is that of a negative charge located at the origin. Visualize: The positions (5.0 cm, 0.0 cm), ( 5.0 cm, 5.0 cm), and ( 5.0 cm, 5.0 cm) are denoted by A, B, and C, respectively.
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HW04solutions - 26.14 Model Model the plastic spheres as...

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