25. Using the same image in question #24 what are two ways to increase the force of gravity?
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1 point
Decrease the mass of m1 or increase the distance between the objects (r).
Decrease the mass of m1 or decrease the distance between the objects (r).
Increase the mass of m1 or increase the distance between the objects (r).
Increase the mass of m1 or decrease the distance between the objects (r).
Increase the mass of m1 or decrease the distance between the objects (r).
To increase the force of gravity using the same image in question #24, there are two ways:
1. Increase the mass of m1: The force of gravity is directly proportional to the mass of the objects involved. By increasing the mass of m1, the gravitational force it exerts on m2 will also increase, resulting in an overall increase in the force of gravity.
2. Decrease the distance between the objects (r): The force of gravity is inversely proportional to the square of the distance between the objects. By reducing the distance (r) between m1 and m2, the gravitational force between them will increase, leading to an increase in the force of gravity.
To determine the correct answer to this question, we need to understand the factors that influence the force of gravity between two objects. The force of gravity can be calculated using the equation:
F = G × (m1 × m2) / r^2
Where:
F is the force of gravity between the objects,
G is the gravitational constant,
m1 and m2 are the masses of the two objects, and
r is the distance between the centers of the two objects.
Now, let's consider the two ways to increase the force of gravity, as stated in the options:
1. Decrease the mass of m1 or increase the distance between the objects (r): According to the equation, decreasing the mass of m1 would decrease the force of gravity. However, increasing the distance between the objects (r) would indeed decrease the force of gravity. So, this option is incorrect.
2. Decrease the mass of m1 or decrease the distance between the objects (r): Similarly, decreasing the mass of m1 would decrease the force of gravity. However, decreasing the distance between the objects (r) would actually increase the force of gravity. Therefore, this option is also incorrect.
3. Increase the mass of m1 or increase the distance between the objects (r): According to the equation, increasing the mass of m1 would indeed increase the force of gravity. Furthermore, increasing the distance between the objects (r) would decrease the force of gravity. Hence, this option is incorrect.
4. Increase the mass of m1 or decrease the distance between the objects (r): Finally, increasing the mass of m1 would increase the force of gravity, and decreasing the distance between the objects (r) would also increase the force of gravity. Therefore, this option is correct.
Therefore, the correct answer to the question is: Increase the mass of m1 or decrease the distance between the objects (r).