(F)(M)=A
Force times Mass equals Acceleration.
The answer is TRUE.
If the mass increases the number on the left side of the equation increases, thus increasing the right side as well.
Answer:
the rotational inertia of the cylinder = 4.85 kgm²
the mass moved 7.942 m/s
Explanation:
Formula for calculating Inertia can be expressed as:
![I =\frac{1}{2}mR^2](https://tex.z-dn.net/?f=I%20%3D%5Cfrac%7B1%7D%7B2%7DmR%5E2)
For calculating the rotational inertia of the cylinder ; we have;
![I = \frac{1}{2}m_pR^2](https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7B1%7D%7B2%7Dm_pR%5E2)
![I = \frac{1}{2}*10.53*(0.96)^2](https://tex.z-dn.net/?f=I%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2A10.53%2A%280.96%29%5E2)
![I=5.265*(0.96)^2](https://tex.z-dn.net/?f=I%3D5.265%2A%280.96%29%5E2)
![I=4.852224](https://tex.z-dn.net/?f=I%3D4.852224)
I ≅ 4.85 kgm²
mg - T ma and RT = I ∝
T = ![\frac{Ia}{R^2}](https://tex.z-dn.net/?f=%5Cfrac%7BIa%7D%7BR%5E2%7D)
![a = \frac{g}{1+\frac{I}{mR^2}}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7Bg%7D%7B1%2B%5Cfrac%7BI%7D%7BmR%5E2%7D%7D)
![a = \frac{9.8}{1+\frac{4.85}{3.9*(0.96)^2}}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B9.8%7D%7B1%2B%5Cfrac%7B4.85%7D%7B3.9%2A%280.96%29%5E2%7D%7D)
a = 4.1713 m/s²
Using the equation of motion
![v^2 = u^2+2as \\ \\ v^2 = 2as \\ \\ v = \sqrt{2*a*s} \\ \\ v= \sqrt{2*4.1713*7.56} \\ \\ v = 7.942 \ m/s](https://tex.z-dn.net/?f=v%5E2%20%3D%20u%5E2%2B2as%20%5C%5C%20%5C%5C%20v%5E2%20%3D%202as%20%5C%5C%20%5C%5C%20v%20%3D%20%5Csqrt%7B2%2Aa%2As%7D%20%5C%5C%20%5C%5C%20v%3D%20%5Csqrt%7B2%2A4.1713%2A7.56%7D%20%5C%5C%20%5C%5C%20v%20%3D%207.942%20%5C%20m%2Fs)
Benzene was a ring of six carbon atoms! This was the structure that made him well known around the world
Explanation:
that the people closer too the head of the table will feel more vibrations than the people at the end of the table. since the vibrations will slow down as they travel farther down the table
Hope this helps!!