Calculating Gravitational Force between Two Electrons
- Given:
- Mass of each electron (m) = 9.1×10^(-31) kg
- Distance between the electrons (r) = 10 Å = 10^(10) m
- Formula:
- The gravitational force between two masses is given by the formula:
F = G * (m1 * m2) / r^2
- Calculations:
- Plugging in the values:
F = (6.67×10^(-11) N m^2/kg^2) * [(9.1×10^(-31) kg) * (9.1×10^(-31) kg)] / (10^(10) m)^2
F = (6.67×10^(-11) N m^2/kg^2) * (8.281×10^(-61) kg^2) / 10^20 m^2
F = 5.51×10^(-70) N
- Result:
- The gravitational force of attraction between the two electrons is 5.51×10^(-70) N.
Explanation:
- In this scenario, we use Newton's law of universal gravitation to calculate the gravitational force between two electrons. The formula involves the gravitational constant (G), the masses of the two objects (m1 and m2), and the distance between them (r).
- By substituting the given values into the formula and performing the necessary calculations, we find that the gravitational force between the two electrons is extremely small due to their tiny masses and the large distance between them.
- This calculation helps us understand the nature of gravitational interactions at the microscopic level and emphasizes the importance of gravitational forces even between subatomic particles like electrons.