Answer:
<em>The ratio of gravitational force to electrical force is 3.19 x 10^-36 </em>
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Explanation:
mass of an alpha particle = 6.64 x kg
charge on an alpha particle = +2e = +2(1.6 x C) = 3.2 x
C
distance between particles = d
For gravitational attraction:
The force of gravitational attraction F =
where G = gravitational constant = 6.67 x m^3 kg^-1 s^-2
r = the distance between the particles = d
m = the mass of each particle
therefore, gravitational force = =
Newton
For electrical repulsion:
Electrical force between the particles =
where k is the Coulomb's constant = 9.0 x N•m^2/C^2
r = distance between the particles = d
Q = charge on each particle
therefore, electrical force = =
Newton
the negative sign implies that there is a repulsion on the particles due to their like charges.
Ratio of the magnitude of gravitation to electrical force =
==> <em>3.19 x 10^-36 </em>