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Answer:
Electric force = 8.20x10⁻⁸ N
Gravitational force = 3.61x10⁻⁴⁷ N
Step-by-step explanation:
1. The electric force can be found using the following equation:
Where:
K: is the Coulomb's constant = 9x10⁹ N.m²/C²
: is the charge of the proton = 1.6x10⁻¹⁹ C
: is the charge of the electron = -1.6x10⁻¹⁹ C
d: is the distance = 5.3x10⁻¹¹ m
Hence, the magnitude of the electric force is:
2. The gravitational force can be calculated as follows:
Where:
: is the electron's mass = 9.1x10⁻³¹ kg
: is the proton's mass = 1.67x10⁻²⁷ kg
G: is the gravitational constant = 6.67x10⁻¹¹ N.m²/kg²
Therefore, the gravitational force is:
As we can see, the gravitational force is much less than the electric force.
I hope it helps you!