an electron (m= 9.11 x 10^-31 kg) and a proton (m+ 1.6 x 10^-27 kg) are separated by 1.0 x 10^-10 m. what is the gravitation force between them?
help please!
To calculate the gravitational force between the electron and the proton, we can use the formula for gravitational force, which is given by:
F = (G * m1 * m2) / r^2
Where:
- F is the gravitational force
- G is the gravitational constant (approximately 6.67 x 10^-11 N m^2 / kg^2)
- m1 and m2 are the masses of the two objects
- r is the distance between the centers of the two objects
Using the given values:
- Mass of the electron (m1) = 9.11 x 10^-31 kg
- Mass of the proton (m2) = 1.6 x 10^-27 kg
- Distance between the electron and the proton (r) = 1.0 x 10^-10 m
Now, we can plug these values into the formula to find the gravitational force. Let's calculate it step by step:
Step 1: Multiply the masses together
m1 * m2 = (9.11 x 10^-31 kg) * (1.6 x 10^-27 kg)
Step 2: Square the distance
r^2 = (1.0 x 10^-10 m)^2
Step 3: Multiply the result of Step 1 by the gravitational constant
(G * m1 * m2) = (6.67 x 10^-11 N m^2 / kg^2) * (result of Step 1)
Step 4: Divide the result of Step 3 by the result of Step 2
F = (result of Step 3) / (result of Step 2)
By following these steps, you can calculate the gravitational force between the electron and the proton.