Question

newtons laws newtons second law
1.2 4.8
0.7 2.8
1.6 6.4
which phrase best describes a graph that would represent the
relationship shown in the table? (1 point)
a downward - sloping line drawn on a graph with acceleration shown on
the x - axis and force shown on the y - axis
a downward - sloping line drawn on a graph with acceleration shown on
the y - axis and force shown on the x - axis
an upward - sloping line drawn on a graph with acceleration shown on
the x - axis and force shown on the y - axis
an upward - sloping line drawn on a graph with acceleration shown on
the y - axis and force shown on the x - axis

Explanation:

Step1: Analyze the relationship between force and acceleration

According to Newton's second law \(F = ma\) (where \(F\) is force, \(m\) is mass, and \(a\) is acceleration), when mass \(m\) is constant, \(F\) is directly proportional to \(a\). A direct - proportional relationship is represented by an upward - sloping line on a graph.

Step2: Determine the axes

If acceleration (\(a\)) is on the \(x\) - axis and force (\(F\)) is on the \(y\) - axis, and since \(F=ma\) (a linear equation \(y = mx\) where \(y = F\), \(x = a\), and \(m\) is the slope equal to mass), as \(a\) ( \(x\)) increases, \(F\) ( \(y\)) increases.

Answer:

an upward - sloping line drawn on a graph with acceleration shown on the \(x\) - axis and force shown on the \(y\) - axis