I would say 3 is the answer
Answer:
c. 100 N
Explanation:
= mass of each = 55 kg
= Time period of rotation = 7.0 sec
Angular frequency is given as
![w = \frac{2\pi }{T} \\w = \frac{2(3.14) }{7}\\w = 0.897 rads^{-1}](https://tex.z-dn.net/?f=w%20%3D%20%5Cfrac%7B2%5Cpi%20%7D%7BT%7D%20%5C%5Cw%20%3D%20%5Cfrac%7B2%283.14%29%20%7D%7B7%7D%5C%5Cw%20%3D%200.897%20rads%5E%7B-1%7D)
= Diameter of the merry-go-round = 4.5 m
Radius of the merry-go-round is given as
![r = \frac{d}{2} = \frac{4.5}{2} = 2.25 m](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7Bd%7D%7B2%7D%20%3D%20%5Cfrac%7B4.5%7D%7B2%7D%20%3D%202.25%20m)
Magnitude of outward force is same as the centripetal force and is given as
![F = m r w^{2} = (55) (2.25) (0.897)^{2} \\F = 100 N](https://tex.z-dn.net/?f=F%20%3D%20m%20r%20w%5E%7B2%7D%20%3D%20%2855%29%20%282.25%29%20%280.897%29%5E%7B2%7D%20%5C%5CF%20%3D%20100%20N)
In most cases the temperature must increase for thermal expansion to occur. Most substances expand as temperature increases because the atoms or molecules vibrate faster as temperature increases and experience greater separation.