Question

draw a graph that represents how gravitational force changes when distance increases. distance will be on the x axis and force on the y.

Explanation:

Step1: Recall gravitational - force formula

The gravitational force formula is $F = G\frac{m_1m_2}{r^2}$, where $F$ is the gravitational force, $G$ is the gravitational constant, $m_1$ and $m_2$ are the masses of two objects, and $r$ is the distance between them. When $m_1$ and $m_2$ are constant, $F$ is inversely proportional to $r^2$.

Step2: Analyze the relationship for graph - drawing

As $r$ (distance on the x - axis) increases, $F$ (force on the y - axis) decreases. The graph will start at a non - zero value for a small non - zero distance and will approach the x - axis (but never touch it) as the distance increases to infinity. It is a hyperbolic - like curve in the first quadrant since distance and force are both non - negative in this context.

Answer:

Draw a curve in the first quadrant that starts at a non - zero y - value for a small non - zero x - value and decreases as x increases, approaching the x - axis asymptotically.