Questions: The graph below represents the relationship between gravitational force and mass for objects near the surface of Earth. Gravitational Force Mass The slope of the graph represents the a. acceleration due to gravity b. universal gravitational constant c. momentum of objects d. weight of objects e. universal gravitational constant

The graph below represents the relationship between gravitational force and mass for objects near the surface of Earth.

Gravitational Force

Mass

The slope of the graph represents the

a. acceleration due to gravity
b. universal gravitational constant
c. momentum of objects
d. weight of objects
e. universal gravitational constant

Transcript text: The graph below represents the relationship between gravitational force and mass for objects near the surface of Earth. Gravitational Force Mass The slope of the graph represents the a. acceleration due to gravity b. universal gravitational constant c. momentum of objects d. weight of objects e. universal gravitational constant

Solution

Solution Steps

Step 1: Analyze the graph

The graph plots Gravitational Force (y-axis) against Mass (x-axis). The slope of the graph represents the change in gravitational force divided by the change in mass.

Step 2: Recall Newton's Second Law

Newton's second law states Force = mass * acceleration. In this case, the force is gravitational force, commonly known as weight. So, Weight = mass * acceleration due to gravity (g).

Step 3: Relate the graph to the formula

The slope of the graph (change in gravitational force/change in mass) is equivalent to the acceleration due to gravity (g) in the formula Weight = mass * g.