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2 electron of masses 9.1 * 10^-31 kg are seperated by a distance of 10 A^0. Calculate the gravitational force between them. (1 A^0 = 10^-10 m)?
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2 electron of masses 9.1 * 10^-31 kg are seperated by a distance of 10...
Given Data
- Mass of each electron (m) = 9.1 x 10^-31 kg
- Distance (r) = 10 A^0 = 10 x 10^-10 m = 10^-9 m
- Gravitational constant (G) = 6.674 x 10^-11 N m^2/kg^2
Gravitational Force Formula
To calculate the gravitational force (F) between two masses, we use Newton's law of universal gravitation:
F = G * (m1 * m2) / r^2
In this case, m1 = m2 = m (mass of the electron).
Calculation Steps
- Substitute values into the formula:
F = G * (m * m) / r^2
- Plugging in values:
F = (6.674 x 10^-11) * (9.1 x 10^-31 * 9.1 x 10^-31) / (10^-9)^2
- Calculating m * m:
m * m = (9.1 x 10^-31)^2 = 8.27 x 10^-62 kg^2
- Calculating r^2:
(10^-9)^2 = 10^-18 m^2
- Now, substituting back:
F = (6.674 x 10^-11) * (8.27 x 10^-62) / (10^-18)
F = 6.674 x 8.27 x 10^-55 N
F = 5.53 x 10^-54 N
Final Result
The gravitational force between the two electrons is approximately 5.53 x 10^-54 N.
Conclusion
This force is extremely small compared to electromagnetic forces, highlighting the relative weakness of gravity at the atomic level.
- Mass of each electron (m) = 9.1 x 10^-31 kg
- Distance (r) = 10 A^0 = 10 x 10^-10 m = 10^-9 m
- Gravitational constant (G) = 6.674 x 10^-11 N m^2/kg^2
Gravitational Force Formula
To calculate the gravitational force (F) between two masses, we use Newton's law of universal gravitation:
F = G * (m1 * m2) / r^2
In this case, m1 = m2 = m (mass of the electron).
Calculation Steps
- Substitute values into the formula:
F = G * (m * m) / r^2
- Plugging in values:
F = (6.674 x 10^-11) * (9.1 x 10^-31 * 9.1 x 10^-31) / (10^-9)^2
- Calculating m * m:
m * m = (9.1 x 10^-31)^2 = 8.27 x 10^-62 kg^2
- Calculating r^2:
(10^-9)^2 = 10^-18 m^2
- Now, substituting back:
F = (6.674 x 10^-11) * (8.27 x 10^-62) / (10^-18)
F = 6.674 x 8.27 x 10^-55 N
F = 5.53 x 10^-54 N
Final Result
The gravitational force between the two electrons is approximately 5.53 x 10^-54 N.
Conclusion
This force is extremely small compared to electromagnetic forces, highlighting the relative weakness of gravity at the atomic level.
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2 electron of masses 9.1 * 10^-31 kg are seperated by a distance of 10 A^0. Calculate the gravitational force between them. (1 A^0 = 10^-10 m)?
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2 electron of masses 9.1 * 10^-31 kg are seperated by a distance of 10 A^0. Calculate the gravitational force between them. (1 A^0 = 10^-10 m)? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about 2 electron of masses 9.1 * 10^-31 kg are seperated by a distance of 10 A^0. Calculate the gravitational force between them. (1 A^0 = 10^-10 m)? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2 electron of masses 9.1 * 10^-31 kg are seperated by a distance of 10 A^0. Calculate the gravitational force between them. (1 A^0 = 10^-10 m)?.
2 electron of masses 9.1 * 10^-31 kg are seperated by a distance of 10 A^0. Calculate the gravitational force between them. (1 A^0 = 10^-10 m)? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about 2 electron of masses 9.1 * 10^-31 kg are seperated by a distance of 10 A^0. Calculate the gravitational force between them. (1 A^0 = 10^-10 m)? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2 electron of masses 9.1 * 10^-31 kg are seperated by a distance of 10 A^0. Calculate the gravitational force between them. (1 A^0 = 10^-10 m)?.
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