calculate the force of gravity between earth (mass = 6.0 x 1024kg) and the moon (mass = 7.4 x 1022 kg). the average Earth-moon distance is 3.8 x 108 m.
To calculate the force of gravity between Earth and the Moon, we can use Newton's law of universal gravitation:
F = (G * m1 * m2) / r^2
where:
F is the force of gravity,
G is the gravitational constant (approximately 6.67430 x 10^-11 N m^2/kg^2),
m1 is the mass of one object (in this case, Earth),
m2 is the mass of the other object (in this case, the Moon), and
r is the distance between the centers of the two objects.
Given data:
m1 (mass of Earth) = 6.0 x 10^24 kg
m2 (mass of the Moon) = 7.4 x 10^22 kg
r (Earth-Moon distance) = 3.8 x 10^8 m
Plugging in the values into the formula, we get:
F = (6.67430 x 10^-11 N m^2/kg^2) * (6.0 x 10^24 kg) * (7.4 x 10^22 kg) / (3.8 x 10^8 m)^2
Now, let's calculate step-by-step:
1. Calculate the distance squared:
r^2 = (3.8 x 10^8 m)^2 = (3.8)^2 x (10^8)^2 = 14.440 x 10^16 m^2
2. Multiply the masses and constant:
G * m1 * m2 = (6.67430 x 10^-11 N m^2/kg^2) * (6.0 x 10^24 kg) * (7.4 x 10^22 kg) = 2.904044 x 10^17 N m^2
3. Divide the above result by the square of the distance:
F = (2.904044 x 10^17 N m^2) / (14.440 x 10^16 m^2) = 2.011 x 10^1 N
Therefore, the force of gravity between Earth and the Moon is approximately 2.011 x 10^1 N.
The equation that you need to answer this question is called Newton's universal law of gravity.
You can find it and an explanation at
http://www.physicsclassroom.com/class/circles/u6l3c.cfm
You will learn physics much better if you do this yourself.