Answer:
3.267 m/s²
Step-by-step explanation:
Given the mass m1 = 20 kg and m2 = 10 kg, we can find the acceleration using the following equation:
The forces acting on the system are the weights of each mass. So, the net force will be equal to the differences between these weights, then:
Therefore, the acceleration of the system will be:
![\begin{gathered} a=\frac{(20\operatorname{kg}-10\operatorname{kg})(9.8m/s^2)}{(20\operatorname{kg}+10\operatorname{kg})} \\ a=\frac{10\operatorname{kg}((9.8m)/(s^2))}{30\operatorname{kg}} \\ a=3.267m/s^2 \end{gathered}]()
So, the acceleration will be 3.267 m/s², where m1 is moving down and m2 is moving up.