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 the formula for gravitational force

The gravitational force \(F = mg\), where \(m\) is the mass and \(g\) is the acceleration due to gravity (a constant, \(g = 9.8\space m/s^{2}\) near the Earth's surface).

Step2: Analyze the relationship between \(F\) and \(m\)

Since \(F = mg\) and \(g\) is constant, the relationship between \(F\) and \(m\) is a linear relationship of the form \(y=kx\) (where \(y = F\), \(k = g\), and \(x = m\)).

Answer:

The graph will be a straight - line passing through the origin. As the mass (\(m\)) (on the \(x\) - axis) increases, the gravitational force (\(F\)) (on the \(y\) - axis) increases proportionally.