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Chapter 21: Q75P (page 629)

The charges of an electron and a positron are -eand+e. The mass of each is9.11脳10鈭�31鈥塳驳.What is the ratio of the electrical force to the gravitational force between an electron and a positron?

Short Answer

Expert verified

The ratio of the electric force between the electron and the positron is 4.16脳1042.

Step by step solution

01

Given

The mass of electron and positron is 9.11脳10鈭�31kg.

02

 Step 2: Determine the formulas for the electric forces:

Electric force between two chargesQ1andQ2is given byFe=KQ1Q2r2.

Gravitational force between two masses and is given by Fg=Gm1m2r2.

03

Calculate the ratio of the electrical force to the gravitational force between an electron and a positron?

The electrical force between an electron and a positron separated by a distance r isFe=ke2r2

On the other hand, the gravitational force between the two charges isFg=Gm2r2. Thus, the ratio of the two forces is,

FeFg=ke2r2Gm2r2=ke2Gm2

Substitute the values and solve as:

FeFg=(9脳109鈥�Nm2C2)(1.60脳10鈭�19鈥塁)2(6.67脳10鈭�11鈥�Nm2kg2)(9.11脳10鈭�31鈥塳驳)2=4.16脳1042

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Most popular questions from this chapter

The charges and coordinates of two charged particles held fixed in an x-yplane are q1=+3.0mC,x1=3.5cm,y1=0.50cm,and q2=-4.0mC,x2=-2.0cm,y2=1.5鈥�cm.Find the (a) magnitude and (b) direction of the electrostatic force on particle 2 due to particle 1. At what (c) xand (d) ycoordinates should a third particle of charge q3=+4.0 mC be placed such that the net electrostatic force on particle 2 due to particles 1 and 3 is zero?

Two equally charged particles are held3.2脳10-3m apart and then released from rest. The initial acceleration of the first particle is observed to be 7.0m/s2 and that of the second to be 9.0m/s2. If the mass of the first particle is6.3脳10-7kg,, what are (a) the mass of the second particle and (b) the magnitude of the charge of each particle?

In Fig. 21-24, three identical conducting spheres initially have the following charges: sphere A,4Q ; sphere B,鈭�6Q ; and sphere C,0 . Spheres Aand Bare fixed in place, with a center-to-center separation that is much larger than the spheres. Two experiments are conducted. In experiment 1, sphere Cis touched to sphere Aand then (separately) to sphere B, and then it is removed. In experiment 2, starting with the same initial states, the procedure is reversed: Sphere Cis touched to sphere Band then (separately) to sphere A, and then it is removed. What is the ratio of the electrostatic force between Aand Bat the end of experiment 2 to that at the end of experiment 1?

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An electron is in a vacuum near Earth鈥檚 surface and located aty=0on a vertical yaxis. At what value of yshould a second electronbe placed such that its electrostatic force on the first electron balancesthe gravitational force on the first electron?
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