Rank the average gravitational forces from greatest to least between:A. Sun and Mars.B. Sun and the Moon.C. Sun and Earth.
i answer b,c,a and its wrong
The correct answer is C, A, B
C A B is the correct answer Earth is bigger than Mars but Mars is bigger than the Moon.
C,A,B is correct because I got it right.
Sun and Earth.
Sun and Mars.
Sun and the Moon.
To rank the average gravitational forces between different celestial bodies, you can use Newton's law of universal gravitation. This law states that the gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
To calculate the gravitational force between two objects, you need to know the masses of the objects and the distance between their centers. The formula to calculate 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/kg)^2)
- m1 and m2 are the masses of the two objects
- r is the distance between the centers of the two objects
Let's apply this formula to rank the average gravitational forces:
A. Sun and Mars:
The mass of the Sun (m1) is approximately 1.989 x 10^30 kg, and the mass of Mars (m2) is approximately 6.417 x 10^23 kg. The average distance between the Sun and Mars (r) is approximately 2.279 x 10^8 km or 2.279 x 10^11 m.
Calculating the gravitational force between the Sun and Mars using the formula, we get:
F = (6.67430 x 10^-11 N(m/kg)^2) * ((1.989 x 10^30 kg) * (6.417 x 10^23 kg)) / (2.279 x 10^11 m)^2
Calculating this, we find that the gravitational force between the Sun and Mars is approximately 2.75 x 10^20 N.
B. Sun and the Moon:
The mass of the Sun (m1) and the Moon (m2) are the same as in the previous calculation. The average distance between the Sun and the Moon (r) is approximately 3.844 x 10^5 km or 3.844 x 10^8 m.
Using the same formula as before, we can calculate the gravitational force between the Sun and the Moon:
F = (6.67430 x 10^-11 N(m/kg)^2) * ((1.989 x 10^30 kg) * (7.347 x 10^22 kg)) / (3.844 x 10^8 m)^2
Calculating this, we find that the gravitational force between the Sun and the Moon is approximately 4.97 x 10^18 N.
C. Sun and Earth:
The mass of the Earth (m2) is approximately 5.972 x 10^24 kg, and the average distance between the Sun and the Earth (r) is approximately 1.496 x 10^8 km or 1.496 x 10^11 m.
Using the same formula as before, we can calculate the gravitational force between the Sun and the Earth:
F = (6.67430 x 10^-11 N(m/kg)^2) * ((1.989 x 10^30 kg) * (5.972 x 10^24 kg)) / (1.496 x 10^11 m)^2
Calculating this, we find that the gravitational force between the Sun and the Earth is approximately 3.52 x 10^22 N.
Based on these calculations, the average gravitational forces ranked from greatest to least are:
1. Sun and Earth: 3.52 x 10^22 N
2. Sun and Mars: 2.75 x 10^20 N
3. Sun and the Moon: 4.97 x 10^18 N
So, the correct ranking would be: c, a, b.
c is certainly bigger than b.
Between a and b, I'd have to compare M/R^2 for the moon and Mars, where R is the average distance to the sun. it might be close.