Question

1. draw a graph that represents how gravitational force changes when the mass of an object increases. mass will be on the x axis and force on the y.

Explanation:

Step1: Recall gravitational - force formula

The gravitational force $F = mg$, where $g$ is the acceleration due to gravity (constant near the Earth's surface, $g\approx9.8\ m/s^{2}$). This is a linear relationship between force $F$ and mass $m$.

Step2: Determine graph characteristics

Since $F = mg$ is in the form of $y = kx$ (where $y = F$, $k = g$, and $x = m$), the graph will be a straight - line passing through the origin $(0,0)$. When $m = 0$, $F=0$. As $m$ increases, $F$ increases proportionally.

Step3: Draw the graph

On the $x$ - axis, mark the mass values (in kg) and on the $y$ - axis, mark the force values (in N). Plot points for different mass - force pairs (e.g., when $m = 1\ kg$, $F = 9.8\ N$; when $m = 2\ kg$, $F = 19.6\ N$) and draw a straight line through them.

Answer:

Draw a straight - line graph passing through the origin with a positive slope. The slope of the line is equal to the value of the acceleration due to gravity $g\approx9.8\ m/s^{2}$.