Answer:
![I_{total}=220.64 kg*m^{2}](https://tex.z-dn.net/?f=I_%7Btotal%7D%3D220.64%20kg%2Am%5E%7B2%7D)
Explanation:
The moment of inertia of the system is equal to the each population and the platform inertia so
Inertia disk
![I_{disk}=\frac{1}{2}*m_{disk}*(r_{p})^{2}](https://tex.z-dn.net/?f=I_%7Bdisk%7D%3D%5Cfrac%7B1%7D%7B2%7D%2Am_%7Bdisk%7D%2A%28r_%7Bp%7D%29%5E%7B2%7D)
Inertia person
![I_{p}=\frac{1}{2}*m_{p}*(r_{p})^{2}](https://tex.z-dn.net/?f=I_%7Bp%7D%3D%5Cfrac%7B1%7D%7B2%7D%2Am_%7Bp%7D%2A%28r_%7Bp%7D%29%5E%7B2%7D)
Inertia dog
![I_{d}=\frac{1}{2}*m_{d}*(r_{d})^{2}](https://tex.z-dn.net/?f=I_%7Bd%7D%3D%5Cfrac%7B1%7D%7B2%7D%2Am_%7Bd%7D%2A%28r_%7Bd%7D%29%5E%7B2%7D)
The Inertia of the system is the sum of each mass taking into account that all exert the force of inertia:
![I_{total}=I_{disk}+I_{p}+I_{d}](https://tex.z-dn.net/?f=I_%7Btotal%7D%3DI_%7Bdisk%7D%2BI_%7Bp%7D%2BI_%7Bd%7D)
![I_{total}=\frac{1}{2}*103kg*(1.71)^{2}+\frac{1}{2}*68.9kg*(1.09)^{2}+\frac{1}{2}*27.7kg*(1.45)^{2}](https://tex.z-dn.net/?f=I_%7Btotal%7D%3D%5Cfrac%7B1%7D%7B2%7D%2A103kg%2A%281.71%29%5E%7B2%7D%2B%5Cfrac%7B1%7D%7B2%7D%2A68.9kg%2A%281.09%29%5E%7B2%7D%2B%5Cfrac%7B1%7D%7B2%7D%2A27.7kg%2A%281.45%29%5E%7B2%7D)
![I_{total}=220.64 kg*m^{2}](https://tex.z-dn.net/?f=I_%7Btotal%7D%3D220.64%20kg%2Am%5E%7B2%7D)
Let us consider the air with the index 1 and the lucite with index 2. Using the Snell's Secound Law, we have:
Entering the unknowns, remembering that the air refrective index is 1 and the lucite refrective index is 1.5, comes:
Using the arcsin properties, we get:
![sen\O_{2}=0.75 \\ arcsin(0.75)=\O_{2} \\ \boxed {\O_{2}=48.59^o}](https://tex.z-dn.net/?f=sen%5CO_%7B2%7D%3D0.75%20%5C%5C%20arcsin%280.75%29%3D%5CO_%7B2%7D%20%5C%5C%20%5Cboxed%20%7B%5CO_%7B2%7D%3D48.59%5Eo%7D)
Obs: Approximate results, and the drawing is attached
If you notice any mistake in my english, let me know, because i am not native.
Acceleration = force / mass = 8/10 m/s^2
After 5 s (from the start) velocity = 5 x 8/10= 4 m/s
Answer:don’t mind this I just needed to answer five questions and im not smart
Explanation: