Answer:
The velocity is 19.39 m/s
Solution:
As per the question:
Mass, m = 75 kg
Radius, R = 19.2 m
Now,
When the mass is at the top position in the loop, then the necessary centrifugal force is to keep the mass on the path is provided by the gravitational force acting downwards.
![F_{C} = F_{G}](https://tex.z-dn.net/?f=F_%7BC%7D%20%3D%20F_%7BG%7D)
![\frac{mv^{2}}{R} = mg](https://tex.z-dn.net/?f=%5Cfrac%7Bmv%5E%7B2%7D%7D%7BR%7D%20%3D%20mg)
where
v = velocity
g = acceleration due to gravity
![v = \sqrt{2gR} = \sqrt{2\times 9.8\times 19.2} = 19.39\ m/s](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B2gR%7D%20%3D%20%5Csqrt%7B2%5Ctimes%209.8%5Ctimes%2019.2%7D%20%3D%2019.39%5C%20m%2Fs)
I really think it could be a 23 kg
this is due to the existence of other forces called the strong nuclear forces that overcomes the repulsion forces between the protons and keeps the nucleons holding to each other also there is a type of energy that is called the nuclear binding energy and this energy also works on binding the components of the nucleus together
The energy carried by a single photon of frequency f is given by:
![E=hf](https://tex.z-dn.net/?f=E%3Dhf)
where
![h=6.6 \cdot 10^{-34} m^2 kg s^{-1}](https://tex.z-dn.net/?f=h%3D6.6%20%5Ccdot%2010%5E%7B-34%7D%20m%5E2%20kg%20s%5E%7B-1%7D)
is the Planck constant. In our problem, the frequency of the photon is
![f=7.15 \cdot 10^{14}Hz](https://tex.z-dn.net/?f=f%3D7.15%20%5Ccdot%2010%5E%7B14%7DHz)
, and by using these numbers we can find the energy of the photon: