Posted by Anonymous on .
Mass mA rests on a smooth horizontal surface, mB hangs vertically.If m_{\rm{A}}=13.0 kg and m_{\rm{B}}=3.0 kg in the figure , determine the magnitude of the acceleration of each block.

physics 
MathMate,
Sorry, Anonymous, we do not have latex installed, at least yet.
I presume the figure looks like this, but a mirror image of it:
oTmA


T


mB
The letter o stands for a pulley.
The answer to the question lies in the formula F=ma
Force exerted on the system is gravity on mB, thus
F=mB*g
Total mass = mA+mB
Acceleration = F/(mA+mB)
If they are connected by a massless and frictionless pulley, then the acceleration of each block is identical.
The tension on the string, T, is again found by the formula:
T=mA*a