Question

1. the diagram shows three sets of objects. the objects all have the same mass and volume. which of the following correctly orders the sets of objects from greatest gravitational force between the objects to least gravitational force between the objects? a. scenario b, scenario c, scenario a b. scenario a, scenario b, scenario c c. scenario a, scenario c, scenario b d. scenario c, scenario b, scenario a 12. calandra is exploring the properties of water. she measures two different volumes of water. which of the following describes the relationship between the mass and weight of the water in the beaker on the left with the mass and weight of the beaker on the right? a. both the mass and weight of the water on the right is greater than the water on the left. b. the mass of the water on the right is greater, but the weight of the water is the same in both beakers. c. the weight of the water on the right is greater, but the mass of the water is the same in both beakers.

Explanation:

Step1: Recall gravitational - force formula

The gravitational force between two objects is given by $F = G\frac{m_1m_2}{r^2}$, 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 the masses of the objects are the same in all cases, the gravitational force is inversely proportional to the square of the distance between the objects. In scenario B, the objects are closest together, so the gravitational force is the greatest. In scenario A, the objects are the farthest apart, so the gravitational force is the least. In scenario C, the distance is intermediate.

Step2: Analyze mass - weight relationship

Mass is a measure of the amount of matter in an object, and weight is the force exerted on an object due to gravity ($W=mg$, where $m$ is mass and $g$ is the acceleration due to gravity). The beaker on the right has a greater volume of water. Since density of water is constant, mass is directly proportional to volume ($m=
ho V$). So the mass of water in the right - hand beaker is greater. Since $W = mg$ and $g$ is constant, the weight of water in the right - hand beaker is also greater.

Answer:

1. A. Scenario B, Scenario C, Scenario A
2. A. Both the mass and weight of the water on the right is greater than the water on the left.