Atomic physicists ignore the effect of gravity within an atom. To see why, calcu

Question

Atomic physicists ignore the effect of gravity within an atom. To see why, calculate and compare the gravitational and electrical forces between an electron and a proton separated by 1.4 x 10-10 m. The mass of the proton is 1.6726 x 10 -27 kg and that of the electron is 9.1094 x 10-31 kg. The charge of the proton and electron is the same, e = 1.602 x 10-19 Coulombs. The gravitational constant is 6.67x 10-11 Nm2kg-2.

a)The force due to the gravitational interaction between the two particles is?

b)The force due to the electrostatic interaction between the two particles is?

Explanation / Answer

1). The force due to the gravitational interaction between the two particles is  5.185034228306124e-10 N i.e

5.18*10-48 N.

from the formula Fg = G*mass1*mass2/ (distance)2 where all the quantities are in MKS (metre,kilogram,second) system of measument. G is the gravitational constant.

2). The force due to the electrostatic interaction between the two particles is 11768208600.668 N.

from the formula F = Ke * q1 * q2 / r2
Where:
  q1: Charge of object 1
  q2: Charge of object 2
  r: Distance between the two objects
  F: Force between the two objects. A positive force implies a repulsive interaction, while a negative force implies an attractive interaction
  Ke = Coulomb Constant, 8.9875517873681764 * 109 N.m2.C-2

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.