can you please check my answers?

1.what would be the path of the moon if somehow all gravitational foces on it vanished to zero?
-would the path of the moon be arched.

6. is the force of gravity stronger on a crumpled piece of paper than on a indentical piece paper that has not be crumpled?
-I saw that both are the same because no matter it is crumpled or not it still has the same force acting on it.

9. what is the relationship between the force and distance in an inverse square law?
-is it columbs law

12. why could Newton not determine the magnitude of the G with his equation? (this question I don't understand?

1. What is Newtons First law?

6. correct.
9. No, you have to say force= something. your answer is what the something is.
12. He didn't have enought time, Cavendish finally did it. It is not an easy task measuring the attraction due to small masses.

I agree with Bob.

Sure, I can help you with that! Let's go through each question one by one:

1. What would be the path of the moon if somehow all gravitational forces on it vanished to zero? - Would the path of the moon be arched?
To determine the path of the moon, we need to consider the concept of inertia. In the absence of gravitational forces, the moon would continue moving along a straight line at a constant velocity according to Newton's first law of motion. It would not follow an arched path.

6. Is the force of gravity stronger on a crumpled piece of paper than on an identical piece of paper that has not been crumpled?
You mentioned that both are the same because no matter it is crumpled or not, it still has the same force acting on it. However, the force of gravity does not depend on the shape or condition of an object. Gravity acts equally on both crumpled and uncrumpled pieces of paper. Therefore, the force of gravity is the same for both.

9. What is the relationship between force and distance in an inverse square law? - Is it Coulomb's law?
The inverse square law refers to the relationship between the force exerted and the distance between two objects. It states that the 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. Coulomb's law, on the other hand, describes the force of attraction or repulsion between two charged particles, not necessarily related to distance. So, while both concepts involve a relationship between force and distance, they are not the same.

12. Why could Newton not determine the magnitude of G with his equation?
G refers to the gravitational constant, which is a fundamental constant in Newton's universal law of gravitation. The value of G had to be determined experimentally, and it was initially challenging for Newton to accurately measure it. It was later determined by Henry Cavendish in the late 18th century using a torsion balance experiment. So, Newton was unable to determine the magnitude of G directly from his equation and relied on experimental measurements to establish its value accurately.