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By definition, if two things are proportional to one and other, they are connected by a multiplying constant.

If F = m + a you would simple say F is a bigger than m and it would also require that force, mass and acceleration all shared the same dimensions and units. Clearly mass is a scalar and force and acceleration are vectors, so that is not the case. Also, if they shared the same dimensions, they would effectively be the same thing so F = m + a would be the same as F(total) = F(1) + F(2) which wouldn't tell us very much about the laws of physics at all.

Also, you don't say force is proportional to mass times acceleration (it's EQUAL to mass times acceleration). It's either force is proportional to mass (in which case acceleration is the factor of proportionality) or force is proportional to acceleration (in which case it is mass).

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14y ago
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13y ago

We see that if Force =mass+acceleration...then accoding to physics if the mass has no acceleration then force=mass+0=mass..which is not right in any sence in physics..now if we put Force=mass times acceleration and if consider the mass has no acceleration then force=mass times zero=0..which is true according to physics..therefore the mathemetically correct equation for Force is Force=mass*acceleration and not force=mass+acceleration...

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Q: When force is proportional to mass and acceleration why do you say force is proportional to mass multiplied by acceleration why not mass plus acceleration and so on?
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