Let's call
![m=565~g=0.565~kg](https://img.qammunity.org/2019/formulas/physics/college/8rxw7uj9wnolgi0q2xd0bzote34vt0urbo.png)
the mass of the glider and
![m_w=7\cdot12~g =84~g=0.084~kg](https://img.qammunity.org/2019/formulas/physics/college/2xiffq7yy482k15h7eunbhbypsta928w5i.png)
the total mass of the seven washers hanging from the string.
The net force on the system is given by the weight of the hanging washers:
![F_(net) = m_w g](https://img.qammunity.org/2019/formulas/physics/college/g3e0dpwtzuksdg9knyxcfvvxawt2mji33b.png)
For Newton's second law, this net force is equal to the product between the total mass of the system (which is
![m+m_w](https://img.qammunity.org/2019/formulas/physics/college/3lexc6quiubj6zwzpw58a0z06ybhg94ash.png)
) and the acceleration a:
![F_(net)=(m+m_w)a](https://img.qammunity.org/2019/formulas/physics/college/muf6jwr0b9b4gbgj0l2dviuawc2oxkcixy.png)
So, if we equalize the two equations, we get
![m_w g = (m+m_w)a](https://img.qammunity.org/2019/formulas/physics/college/khpxrjsvzdt3kl7ygj4un11i70s976j4li.png)
and from this we can find the acceleration:
![a= (m_w g)/((m+m_w)) = (0.084~kg \cdot 9.81~m/s^2)/((0.565~kg+0.084~kg))=1.27~m/s^2](https://img.qammunity.org/2019/formulas/physics/college/pvzl3f7j0t17lf0o1ebh78kyhxar8am6cn.png)