Final answer:
To predict the acceleration of the system, use the formula a = (m1 - m2) / m_sys, where m1 is the mass of the system, m2 is the mass of the disks, and m_sys is the total mass of the system.
Step-by-step explanation:
To predict the acceleration of the system, we need to consider the mass of both the system and the disks hanging on the string. The formula to calculate acceleration is given by a = (m1 - m2) / m_sys, where m1 is the mass of the system and m2 is the mass of the disks. Let's plug in the values: a = ([var:m_sys] - [var:m_hang]) / [var:m_sys].
For example, if the system mass is 100 grams and the mass of the disks hanging on the string is 20 grams, the acceleration would be: a = (100 - 20) / 100 = 0.8 m/s².