Calc Forces on Pulleys: 200N, 300N Masses, No Friction

[Est120]

Homework Statement

In Figure 3-25, the weights of the objects are 200 N and 300 N. It is considered
that the pulleys have no friction and that their masses are negligible. Pulley
P1 has a stationary axis, the P2 pulley can raise or lower freely.
Calculate the tensions FT1 and FT2, as well as the acceleration of each body

Relevant Equations

F=m a

Homework Statement: In Figure 3-25, the weights of the objects are 200 N and 300 N. It is considered
that the pulleys have no friction and that their masses are negligible. Pulley
P1 has a stationary axis, the P2 pulley can raise or lower freely.
Calculate the tensions FT1 and FT2, as well as the acceleration of each body
Homework Equations: F=m a

this problem is in the schaum physics book 10 ed 3.37 and says something like this:

Mass B rises and mass A falls. This can be seen if it is observed that the forces acting on the P2 pulley are 2FT2 up and FT1 down

WHY does the forces acting on P2 pulley are 2FT2?

 

[BvU]

You want to write out your relevant equation to show this.
How far does B go up if A lowers $x$ m ?
So how fast does B go up when A lowers with speed $v$ m/s?
What does that mean for the acceleration of B wrt that of A ?