Two Trucks, same mass, one pulling other

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The discussion centers on the maximum acceleration of a truck towing another truck of equal mass, with the first truck's maximum acceleration being 2.6 m/s². It is noted that acceleration is inversely proportional to mass, leading to confusion about how to express this mathematically when two trucks are involved. The relationship between force, mass, and acceleration is explored using the equation F=ma, indicating that if the force remains constant while mass increases, acceleration must decrease. The poster seeks clarification on how to correctly apply these principles to find the new maximum acceleration when towing. Ultimately, the key takeaway is that towing another truck will reduce the maximum acceleration due to the increased total mass.
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Homework Statement


The max. acceleration of a truck is 2.6m/s^2. If the truck tows another truck with a mass the same as its own, what is its maximum acceleration?


Homework Equations


Knowing that acceleration is inversely proportional to mass.


The Attempt at a Solution


a is inversely proportional to "m"-mass
2.6m/s^2 = 1/2m
...

However, this relationship doesn't make sense the way I have put it together. Can someone help me find a mathematical explanation to this?
 
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F=ma Force=(Mass)(Acceleration)

If we keep Force the same then

F=(2m)(.5a)

As you can see all that happens to keep the force the same is to find the multiplicative inverse.

If you didn't decrease the acceleration then you would increase the Force.
To keep the equation equal.

2(F)=2(ma)=2ma
 

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