The gravitational force between two electrons 1.00 m apart is 5.54 X 10 -71 N. Calculate the mass of an electron. It's a pain in the App StoreS, any smart people help me and do it step by step so I can understand it.

First you need to know about two laws, which are:

1) Coulomb's law

2) Newton's law of gravitation

1.

According to Coulomb's law, Electric force between TWO charges is:

-- (A)

Where, k = 1/(4*π*epsilon_not) =  

Both  and  = -1.61 x  C

r = Distance between the two charges = 2.00m

Plug-in the above values in (A), you would get:

= (9 *  ) (1.61 *   * 1.61 * ) / (2*2)  

=  N

2.

According to Newton's law of gravitation:

-- (B)

Where G = Gravitational constant = 6.674 *  

m1 = m2 = Mass of the electron =  kg

r = 2.0 m

Plug-in the above values in (B), you would get:

= (6.674 * ) (   *  }[/tex]) / (2*2)  

=  N

=  

Now do Fe over Fg, you would get:

Ans: So the blanks are:

1) 5.82

2) 1.38

3) 4.23

-i

Explanation:

the answer would be c