The mass of the Earth is 5.98x10^24 kg, and the mass of the Moon is 7.36x 10^22 kg. The distance of separation, measured between their centers, is 3.84x10^8 m. Locate the center of mass of the Earth-Moon system as measured from the center of the Earth.
I tried using the formual r1=a m2/m1+m2) the answer i got was 4.67x10^6 but htis is not right.
Paste
7.36E22*3.84E8/(5.98E24+7.36E22)
into the google search window. You did not round correctly.
1634.426
MY RESPONSE IS THAT IS TRUE CUZ I SENN IT ON THE PAGE FOR THE EARTH IS 5.98x10
To locate the center of mass of the Earth-Moon system, we need to use the formula for the position of the center of mass, which is given by:
r_cm = (m1 * r1 + m2 * r2) / (m1 + m2)
Here, r_cm represents the position of the center of mass, m1 and m2 are the masses of the Earth and the Moon respectively, and r1 and r2 are the distances between their centers.
Let's plug in the values given:
m1 = 5.98x10^24 kg (Mass of the Earth)
m2 = 7.36x10^22 kg (Mass of the Moon)
r1 = 0 (Distance between the Earth's center and its center)
r2 = 3.84x10^8 m (Distance between the Moon's center and the Earth's center)
Substituting these values into the formula, we get:
r_cm = (5.98x10^24 kg * 0 + 7.36x10^22 kg * 3.84x10^8 m) / (5.98x10^24 kg + 7.36x10^22 kg)
Calculating this expression:
r_cm = (7.36x10^22 kg * 3.84x10^8 m) / (5.98x10^24 kg + 7.36x10^22 kg)
= (2.83104x10^31 kg m) / (5.998736x10^24 kg)
= 4.72x10^6 m
So, the correct position of the center of mass of the Earth-Moon system as measured from the center of the Earth is approximately 4.72x10^6 meters.