Mathematical relationships between force, acceleration and mass

[Karma]

What mathematical relationship exists between acceleration and unbalanced force (direct, inverse)

What mathematical relationship exists between acceleration and mass

Just need help solidying my answers, any help will be appreciated

 

[dextercioby]

What are your answers and what is the reasoning behind them ?

Daniel.

 

[Karma]

The acceleration of a body depends on the magnitude of the unbalanced external force because of this the acceleration of a body is directly proportional to the net force acting on the body. If mass increases acceleration decreases and if mass decreases acceleration increases therefore and therefore is inversely proportional to the body. The acceleration is directly proportional to the net force so when the net force doubles, acceleration doubles. And when the net force triples the acceleration triples.
Since the acceleration is proportional to the net force , and is inversely proportional to the mass the equation of a a=Fnet. Acceleration is the net force divided by the mass where as m

mass is the net force divided by the acceleration. According to this equation the acceleration of an object is inversely proportional to mass of the object. The bigger the mass value is, the smaller the acceleration value. If mass increases then acceleration decreases. If the mass was increased by a factor 4, the equation would predict that the acceleration would decrease by a factor of 4, and vice versa.



(thats a=fnet over m)

 

[dextercioby]

Your logics is good,as long as u assume the force being constant.There's NO connection between acceleration and mass.Your claims assumed constant force,but,usually it's not the case...

In a similar way the force is ~ to the acceleration only for objects with constant mass...

I conclude that your analysis,though correct under the tacit assumptions,is not thorough.

Daniel.