Two electrons are separated by a distance r in air. Compare the strength of electrostatic force and gravitational force between two electrons and how much greater electrostatic force compared to gravitational force.
Answers
Explanation:
given,
charge on the electron=1.6×10
−19
C
mass of the electron=9.1×10
−31
kg
gravitational constant=6.67×10
−11
Nm
2
kg
−2
i)to find the electrostatic force b/w 2 electron.
let 2 electrons are at a distance 'd' apart
the electrostatic force is F
e
=
4πε
o
1
d
2
q
2
=
d
2
9×10
9
×(1.6×10
−19
)
2
=
d
2
23.04×10
−29
N
ii) To find the gravitational force,
F
g
=
d
2
Gm
2
=
d
2
6.67×10
−11
×(9.1×10
−31
)
2
=
d
2
553.56×10
−73
N
iii) to show that electrostatic force is much grater then gravitational force.
for this we take ratio
F
g
F
e
=
553.56×10
−73
23.04×10
−29
=0.0416×10
44
=0.416×10
43
we can see tham f
e
>>f
g
ie. electrostatice force is much grater than the gravitational force for 2 electrons separated by a certain distance
Answer:
Charge on an electron is of the order of 10−19 coulombs. We are speaking of two electrons so we should square this number and place 10−38 in the numerator on the Coulomb side of the equation.
The mass of an electron is of the order of 10−31 kg so we have 10−62 in the RHS numerator.
Coulombs constant is of the order of 10^-9 on the LHS numerator
Gravitational constant is of the order of 10^−11 on the RHS numerator.
Let the distance between the two electrons be 1 meter, so we put 12 or 1 in the denominator on both sides
We get 10^−29 on the LHS and 10^−71 on the RHS.
Gravitational force gets dwarfed by the electrostatic force by a mind-zapping 10^42 times !!!!!!!
Explanation:
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