Calculate the force of gravity between Earth (mass = 6.0 * 1024 kg ) and the moon (mass = 7.4 * 1022 kg) the average earth-moon distance is 3.8 * x10^8 m
You do one.
To calculate the force of gravity between two objects, you can use the formula for gravitational force:
F = (G * m1 * m2) / r^2
where:
- F is the force of gravity
- G is the gravitational constant (approximately 6.67430 x 10^-11 Nm^2/kg^2)
- m1 and m2 are the masses of the two objects
- r is the distance between the centers of the two objects
Plugging in the values for Earth (m1), the Moon (m2), and the average Earth-Moon distance (r) into the formula, we can calculate the force of gravity.
G = 6.67430 x 10^-11 Nm^2/kg^2
m1 = 6.0 x 10^24 kg
m2 = 7.4 x 10^22 kg
r = 3.8 x 10^8 m
Now, let's substitute these values into the formula:
F = (6.67430 x 10^-11 Nm^2/kg^2 * 6.0 x 10^24 kg * 7.4 x 10^22 kg) / (3.8 x 10^8 m)^2
First, let's calculate the value in parentheses:
6.67430 x 10^-11 Nm^2/kg^2 * 6.0 x 10^24 kg * 7.4 x 10^22 kg = 3.63112 x 10^20 N
Next, calculate the denominator:
(3.8 x 10^8 m)^2 = 1.444 x 10^17 m^2
Now substitute these values back into the formula:
F = (3.63112 x 10^20 N) / (1.444 x 10^17 m^2)
Divide the numerator by the denominator:
F ≈ 251,048 N
Therefore, the force of gravity between Earth and the Moon is approximately 251,048 N.