Answer:
is that high school work??? cause I don't know it and I'm about to go to high school
Answer:
![\omega = 22.67 rad/s](https://tex.z-dn.net/?f=%5Comega%20%3D%2022.67%20rad%2Fs)
Explanation:
Here we can use energy conservation
As per energy conservation conditions we know that work done by external source is converted into kinetic energy of the disc
Now we have
![W = \frac{1}{2}I\omega^2](https://tex.z-dn.net/?f=W%20%3D%20%5Cfrac%7B1%7D%7B2%7DI%5Comega%5E2)
now we know that work done is product of force and displacement
so here we have
![W = F.d](https://tex.z-dn.net/?f=W%20%3D%20F.d)
![W = (44 N)(0.9 m) = 39.6 J](https://tex.z-dn.net/?f=W%20%3D%20%2844%20N%29%280.9%20m%29%20%3D%2039.6%20J)
now for moment of inertia of the disc we will have
![I = \frac{1}{2}mR^2](https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7B1%7D%7B2%7DmR%5E2)
![I = \frac{1}{2}(7 kg)(0.21^2)](https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7B1%7D%7B2%7D%287%20kg%29%280.21%5E2%29)
![I = 0.154 kg m^2](https://tex.z-dn.net/?f=I%20%3D%200.154%20kg%20m%5E2)
now from above equation we will have
![39.6 = \frac{1}{2}(0.154)\omega^2](https://tex.z-dn.net/?f=39.6%20%3D%20%5Cfrac%7B1%7D%7B2%7D%280.154%29%5Comega%5E2)
![\omega = 22.67 rad/s](https://tex.z-dn.net/?f=%5Comega%20%3D%2022.67%20rad%2Fs)
Answer:
acceleration a = 1.04 m/s2
Explanation:
Assume the train has a speed of 23m/s when the last car passes the railway workers. Once this happens the last car would have traveled a total distance of the 180m distance between the railway worker standing 180 m from where the front of the train started plus the 75m distance from the first car to the last car:
s = 75 + 180 = 255 m
We can use the following equation of motion to find out the distance traveled by the car:
where v = 23 m/s is the velocity of the car when it passes the worker,
= 0m/s is the initial velocity of the car when it starts, a m/s2 is the acceleration, which we are looking for.
![23^2 - 0^2 = 2*a*255](https://tex.z-dn.net/?f=23%5E2%20-%200%5E2%20%3D%202%2Aa%2A255)
![510a = 529](https://tex.z-dn.net/?f=510a%20%3D%20529)
![a = 529 / 510 = 1.04 m/s^2](https://tex.z-dn.net/?f=a%20%3D%20529%20%2F%20510%20%3D%201.04%20m%2Fs%5E2)
Answer:
<h2><u>Constant</u></h2>
Explanation:
Please don't comment in this question's comment box
<h2>Thanks</h2>