Question

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 the formula

The formula for gravitational force \(F = mg\), where \(g\) is a constant (\(g = 9.8\space m/s^{2}\) near the Earth's surface).

Step2: Analyze the relationship

Since \(F = mg\) and \(g\) is constant, \(F\) is directly proportional to \(m\). The equation \(F = mg\) is in the form \(y=kx\) (where \(y = F\), \(k = g\), \(x = m\)).

Step3: Graph characteristics

A direct - proportional relationship \(y = kx\) (here \(F=mg\)) is represented by a straight line passing through the origin. As \(m\) (on the \(x\) - axis) increases, \(F\) (on the \(y\) - axis) increases linearly.

Answer:

A straight - line graph passing through the origin, where as the value on the \(x\) - axis (mass) increases, the value on the \(y\) - axis (gravitational force) increases proportionally.