He made pioneering contributions to all fields of philosophy and science, he invented the field of formal logic, and he identified the various scientific disciplines and explored their relationships to each other. Aristotle was also a teacher and founded his own school in Athens, known as the Lyceum.
Answer:
That isnt a question so no one will know the answer to what you are talking about. I suggest adding a sceenshot or picture of the question.
Usually describes a system by a set of variables in a set of equations established relationships between the variables and variables maybe of many types real or integer numbers Boolean values of strings for example
Answer:
The velocity of the pin will be 6.26 m/s in the right direction.
Explanation:
Let's use the momentum conservation equation.
![p_{i}=p_{f}](https://tex.z-dn.net/?f=p_%7Bi%7D%3Dp_%7Bf%7D)
Initially, we have:
![p_{i}=m_{b}*v_{ib}](https://tex.z-dn.net/?f=p_%7Bi%7D%3Dm_%7Bb%7D%2Av_%7Bib%7D)
Where:
- m(b) is the ball mass
- v(ib) is the initial velocity of the ball
Now, the final momentum will be:
![p_{f}=m_{b}*v_{fb}+m_{p}*v_{fp}](https://tex.z-dn.net/?f=p_%7Bf%7D%3Dm_%7Bb%7D%2Av_%7Bfb%7D%2Bm_%7Bp%7D%2Av_%7Bfp%7D)
Where:
- m(p) is the pin mass
- v(fb) is the final velocity of the ball
- v(fp) is the final velocity of the pin
Then, using the equation of the conservation we have:
![m_{b}*v_{ib}=m_{b}*v_{fb}+m_{p}*v_{fp}](https://tex.z-dn.net/?f=m_%7Bb%7D%2Av_%7Bib%7D%3Dm_%7Bb%7D%2Av_%7Bfb%7D%2Bm_%7Bp%7D%2Av_%7Bfp%7D)
![6*3.5=6*2.77+0.7*v_{fp}](https://tex.z-dn.net/?f=6%2A3.5%3D6%2A2.77%2B0.7%2Av_%7Bfp%7D)
![6*3.5=6*2.77+0.7*v_{fp}](https://tex.z-dn.net/?f=6%2A3.5%3D6%2A2.77%2B0.7%2Av_%7Bfp%7D)
![v_{fp}=6.26 m/s](https://tex.z-dn.net/?f=v_%7Bfp%7D%3D6.26%20m%2Fs)
Therefore the velocity of the pin will be 6.26 m/s in the right direction.
I hope it helps you!