Which statement describes the relationship between the mass of two objects and their gravitational attraction toward each other
The statement that describes the relationship between the mass of two objects and their gravitational attraction toward each other is as follows: "The gravitational attraction between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers."
The relationship between the mass of two objects and their gravitational attraction toward each other can be described by Newton's Law of Universal Gravitation. According to this law, 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.
Mathematically, the relationship can be expressed as:
F = G * (m1 * m2) / r^2
Where:
- F represents the gravitational force between the two objects.
- G is the gravitational constant approximately equal to 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.
From this equation, it can be observed that the force of gravitational attraction is directly proportional to the product of the masses of the objects. Therefore, if the mass of either object increases, the gravitational force between them will also increase. However, the relationship is not linear; the force increases with the square of the mass.
In summary, the greater the mass of two objects, the stronger their mutual gravitational attraction will be.
The relationship between the mass of two objects and their gravitational attraction toward each other is described by Newton's law of universal gravitation. This law states that the gravitational attraction between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
r Toccare and Anesia have glitter markers in a ratio of 2:3. They have a total of 30 glitter markers. How many glitter markers does Anesia have? (1 point) Responses 6 6 12 12 18 18 24 24
Search instead for Tocarre and Anesia have glitter markers in a ratio of 2:3. They have a total of 30 glitter markers. How many glitter markers does Anesia have? (1 point) Responses 6 6 12 12 18
Based on the given information, the ratio of glitter markers that Tocare and Anesia have is 2:3. This means that for every 2 glitter markers Tocare has, Anesia has 3 glitter markers.
Let's assume that Tocare has 2x glitter markers. Therefore, Anesia would have 3x glitter markers.
Since the total number of glitter markers is 30, we can set up the equation 2x + 3x = 30.
Combining like terms, we get 5x = 30.
Dividing both sides of the equation by 5, we find that x = 6.
Therefore, Tocare has 2*6 = 12 glitter markers, and Anesia has 3*6 = 18 glitter markers.
So, Anesia has 18 glitter markers.