7)In calculating the force of gravity between two objects, if the mass of one object increased by 4 and the other by 2, how many times would the force of gravity increase?
I don't really understand but I got 6 times
8)In calculating the force of gravity between two objects, if the distance between the objects increased 4 times, the force of gravity will.
Decrease by 4 times
7) Look at Newton's universal law of gravity.
F = G M m /R^2
I suggest you memorize it. The gravitational attraction force is proportional to the product, not the sum, of the masses. Try again.
8) Note the inverse square dependence upon distance in the law of gravity, which I just provided. Try again.
If you are not willing to make a serious effort to learn your assignments, you will not obtain much more help here.
I seriosly am making an effort people make mistakes some of my answers are wrong but when I post them here I think they are right. I doing the best I can its not like I'm just posting questions im giving MY answers
Let me explain to you how to calculate the force of gravity and help you understand the answers to the given questions:
The force of gravity between two objects can be calculated using the formula:
F = (G * m1 * m2) / r^2
Where:
- F represents the force of gravity
- G is the gravitational constant (approximately 6.67 × 10^-11 Nm^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 address each question:
7) In this question, you are asked about the effect on the force of gravity if one object's mass increases by 4 and the other by 2. To determine the times the force of gravity increases, you need to compare the original force with the new force after the mass changes.
Let's assume the original force of gravity between the two objects is F1. After the mass of one object increases by 4 and the other by 2, the new force of gravity is F2.
To find the relationship between F1 and F2, we divide F2 by F1:
(F2 / F1) = (G * (m1 + 4) * (m2 + 2)) / (G * m1 * m2)
If we simplify this equation, we get:
(F2 / F1) = ((m1 + 4) * (m2 + 2)) / (m1 * m2)
(F2 / F1) = ((m1 * m2) + 2m1 + 4m2 + 8) / (m1 * m2)
(F2 / F1) = (F1 + 2(m1) + 4(m2) + 8) / (F1)
Now you can see that F2 is equal to F1 plus some additional terms. From this equation, it is evident that the force of gravity increases by a certain factor due to the increase in mass. However, without knowing the specific values of m1 and m2, we can't determine the exact multiple by which the force of gravity increases.
Therefore, it is incorrect to state that the force of gravity would increase 6 times without further information.
8) In this question, you are asked about the effect on the force of gravity if the distance between the objects increases by 4 times. To determine the change in the force of gravity, you need to compare the original force with the new force after the distance changes.
Let's assume the original force of gravity between the two objects is F1. After the distance increases by 4 times, the new force of gravity is F2.
The force of gravity is inversely proportional to the square of the distance between the objects. So, if the distance between the objects increases by a factor of 4 (which is equivalent to multiplying the original distance by 4), the new force (F2) will be:
(F2 / F1) = (r1 / (4 * r1))^2
(F2 / F1) = (1/16)
From this equation, we can see that the force of gravity becomes 1/16th (or decreases by a factor of 16) when the distance increases 4 times.
Therefore, it is correct to say that the force of gravity would decrease by 4 times (which is equivalent to 1/16) when the distance between the objects increases by 4 times.