rank the average gravitational force from greatest to least between (a) sun and mars
(b)sun and moon
(c) sun and earth
include an explanation PLEASE!!!!
To rank the average gravitational force from greatest to least between different celestial bodies, we need to utilize the equation 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 6.674 × 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
Now, let's compare the average gravitational forces between the following celestial bodies:
(a) Sun and Mars:
The mass of the Sun (m1) is approximately 1.989 × 10^30 kg, and the mass of Mars (m2) is approximately 6.39 × 10^23 kg. The average distance between the two objects (r) is approximately 227.9 million kilometers or 1.524 × 10^11 meters (on average).
Plugging these values into the gravitational force equation, we get:
F = (6.674 × 10^-11 N * m^2 / kg^2) * (1.989 × 10^30 kg) * (6.39 × 10^23 kg) / (1.524 × 10^11 m)^2
(b) Sun and Moon:
The mass of the Sun (m1) and the mass of the Moon (m2) are the same as mentioned earlier. The average distance between the two objects (r) is approximately 384,400 kilometers or 3.844 × 10^8 meters (on average).
Plugging these values into the gravitational force equation, we get:
F = (6.674 × 10^-11 N * m^2 / kg^2) * (1.989 × 10^30 kg) * (6.39 × 10^23 kg) / (3.844 × 10^8 m)^2
(c) Sun and Earth:
The mass of the Earth (m2) is approximately 5.972 × 10^24 kg. The average distance between the two objects (r) is approximately 149.6 million kilometers or 1.496 × 10^11 meters (on average).
Plugging these values into the gravitational force equation, we get:
F = (6.674 × 10^-11 N * m^2 / kg^2) * (1.989 × 10^30 kg) * (5.972 × 10^24 kg) / (1.496 × 10^11 m)^2
To rank the average gravitational force from greatest to least, we can compare the values obtained from these calculations. Note that the actual value of G is a constant and doesn't affect the ranking.