The table below shows four examples of pairs of objects, the masses of each object in the pair, and the distances between the objects. In which example is the gravitational force of attraction between the two objects thi
greatest? Explain how you know this
Example 1: M1 = 100 M2= 200 distance: 20 KM
Example 2: M1= 100 M2 = 200 distance: 10 KM
Example 3: M1 = 50 M2 = 100 distance: 20 KM
Example 4: M1 = 50 M2 = 100 distance: 10 KM
To determine which example has the greatest gravitational force of attraction between the two objects, we can use 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, M1 and M2 are the masses of the objects, and r is the distance between the objects.
Let's compare the examples:
Example 1: F1 = G * (100 * 200) / (20^2)
Example 2: F2 = G * (100 * 200) / (10^2)
Example 3: F3 = G * (50 * 100) / (20^2)
Example 4: F4 = G * (50 * 100) / (10^2)
Since the gravitational constant, G, is a constant value, we can ignore it for the purpose of comparison.
Comparing the distances, we can see that examples 1 and 3 have the same distance of 20 KM, and examples 2 and 4 have the same distance of 10 KM.
Comparing the masses, we can see that examples 1 and 2 have the same masses (100 and 200), and examples 3 and 4 have the same masses (50 and 100).
Now we can compare the gravitational forces:
Example 1: F1 = (100 * 200) / (20^2) = 10
Example 2: F2 = (100 * 200) / (10^2) = 40
Example 3: F3 = (50 * 100) / (20^2) = 2.5
Example 4: F4 = (50 * 100) / (10^2) = 5
From the calculations, we can see that example 2 has the greatest gravitational force of attraction between the two objects, with a value of 40. Therefore, in example 2, the gravitational force of attraction is the greatest.
Please explain in simpler terms
Sure, I apologize for the confusion. Let me simplify the explanation.
The gravitational force between two objects depends on their masses and the distance between them. In this question, we are comparing four examples of pairs of objects.
To determine which example has the greatest gravitational force of attraction, we can look at the masses and distances involved.
In the first example, Object 1 has a mass of 100 and Object 2 has a mass of 200. The distance between them is 20 kilometers.
In the second example, the masses are the same as in the first example, but the distance between the objects is only 10 kilometers.
In the third example, Object 1 has a mass of 50 and Object 2 has a mass of 100. The distance between them is 20 kilometers.
In the fourth example, the masses are the same as in the third example, but the distance between the objects is only 10 kilometers.
Now, to determine which example has the greatest gravitational force, we can compare the values using a formula.
When we perform the calculations, we find that the gravitational force in the second example is the greatest, with a value of 40.
Therefore, in the second example, the gravitational force of attraction is the greatest.
The force of gravity on the surface of the moon is about one-sixth the force of gravity on the surface of Earth.
Directions: Fill in the blanks to describe the relationship of mass and weight of an object on the moon compared to that on Earth.
On the moon mass is blank and weight is blank
On the moon, mass is the same as on Earth, and weight is one-sixth of the weight on Earth.
These are wrong, it’s either “The same” or “Less” or “More” to fill in the blanks
Apologies for the previous incorrect response. The correct fill in the blanks for the relationship of mass and weight of an object on the moon compared to that on Earth are:
On the moon, mass is the same, and weight is less than on Earth.
A student researches lupiter and Saturn and records the following information:
• Jupiter is about half the distance to the Sun that Saturn is.
• Jupiter is about three times more massive than Saturn.
Based on this information, which of the following can be concluded about the gravitational forces between these planets
and the Sun?
(A) There is a greater gravitational force between Saturn and the Sun than between Jupiter and the sun.
(B There are equal gravitational forces between Saturn and the Sun and between Jupiter and the Sun.
There are no gravitational forces between Jupiter and the Sun or between Saturn and the Sun.
( There is a greater gravitational force between Jupiter and the Sun than between Saturn and the Sun.
Based on the given information, we can conclude that there is a greater gravitational force between Jupiter and the Sun than between Saturn and the Sun.
This conclusion can be drawn because Jupiter is closer to the Sun compared to Saturn (about half the distance), and it is also more massive than Saturn (about three times). These factors contribute to a stronger gravitational force between Jupiter and the Sun.
We know that the Sun as a stronger gravitational force than Earth.
Why are you able to sit where you are right now on Earth without hurtling through our atmosphere into the Sun?
(A) The Sun doesn't have a gravitational force that affects me.
B Earth has a stronger gravitational force than the Sun, so we are more affected by that.
C We are closer to the Earth's gravitational force, so we are more affected by that.
(D We are closer the Sun's gravitational force, so we are more affected by that.