What is the gravitational force between a proton and an electron in a hydrogen atom if they are separated by a distance of 5.29x10^-9 cm
To calculate the gravitational force between a proton and an electron in a hydrogen atom, we can use Newton's law of universal gravitation. This law states that the gravitational force between two objects is equal to the product of their masses, divided by the square of the distance between them, multiplied by the gravitational constant (G).
The formula for the gravitational force (F) is:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force
G is the gravitational constant (approximately 6.67430 x 10^-11 N m^2/kg^2)
m1 and m2 are the masses of the objects (mass of a proton and an electron)
r is the distance between the objects
In this case, we know that the distance (r) between the proton and electron is 5.29 x 10^-9 cm. However, we need to convert this distance to meters because the gravitational constant is given in SI units.
1 cm = 0.01 meters
So, the distance (r) is equal to 5.29 x 10^-9 cm x 0.01 = 5.29 x 10^-11 meters.
The mass of a proton is approximately 1.67 x 10^-27 kg, and the mass of an electron is approximately 9.11 x 10^-31 kg.
Now we can substitute the values into the formula and solve for the gravitational force (F):
F = (6.67430 x 10^-11 N m^2/kg^2) * (1.67 x 10^-27 kg) * (9.11 x 10^-31 kg) / (5.29 x 10^-11 meters)^2
Calculating this expression will give us the gravitational force between the proton and electron in a hydrogen atom.
What is Newton's Gravitational law?
Force=G Mm/r^2
grab your calculator.