hank has four objects with different masses. he measures the gravitational force between the objects when…

Explanation:

Step1: Recall gravitational - force formula

The gravitational - force formula is $F = G\frac{m_1m_2}{r^2}$, where $G$ is the gravitational constant, $m_1$ and $m_2$ are the masses of the two objects, and $r$ is the distance between them. Since $r = 1m$ (constant) and $G$ is also a constant, the gravitational force $F$ is directly proportional to the product of the two masses $m_1m_2$.

Step2: Check the product of masses for each pair

We need to find the pair of masses for which the product $m_1m_2$ is the largest. Without knowing the actual values of the masses of A, B, C, and D, we assume the masses of the objects are $m_A$, $m_B$, $m_C$, and $m_D$. We calculate the products:

• For pair C and D: $m_C\times m_D$
• For pair B and D: $m_B\times m_D$
• For pair C and B: $m_C\times m_B$
• For pair A and B: $m_A\times m_B$ The pair with the largest product of the two masses will have the greatest gravitational force. If we assume that the masses are such that the product of the masses of the two - object pair is maximized for the pair with the two largest individual masses among the four.

Answer:

We cannot determine the answer without knowing the values of the masses of A, B, C, and D.