A pair of variables are said to be directly proportional if, when multiplied by

Question

A pair of variables are said to be directly proportional if, when multiplied by a proportionality factor, they can be set equal to each other. For example, in Newtons second law, F = ma, the variables F and a are directly proportional. In this example m is the proportionality factor .If m remains constant, a will double as F doubles. The relationship between F and a is depicted below for both a 1 and a 2 kg mass. Although in both cases a doubles as F doubles, note that in the case of the 2 kg mass, twice the force is required to achieve the same acceleration. This difference is reflected in the different slopes shown in Figure 2.1. Figure 2.1 A direct proportionality with a positive slope. The slope of a line is defined as the change in the vertical axis, divided by the change in the horizontal axis. slope = delta y/delta x Equation 2.1

Explanation / Answer

yes ... as F=ma

so for a=1 f=1 for m=1

a=2 f=2 for m=1

which is shown by square ...

u are absoutely right

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