Answer:
D.Elastic energy| Magentic energy
What i got was
speed of impact that is 44.27 m/s
or 159.38 km/h
time until impact is 4.525
and last is the Energy at impact which I calauated outcome was 73500.00 joules
To solve this problem we will apply the concepts related to the centripetal force, for which it is necessary to equate it with the static friction force of the body. From this, we will clear the speed and replace with the given values. Our values are defined as,
![r = 16m](https://tex.z-dn.net/?f=r%20%3D%2016m)
![m = 82kg](https://tex.z-dn.net/?f=m%20%3D%2082kg)
![\mu_s = 0.63](https://tex.z-dn.net/?f=%5Cmu_s%20%3D%200.63)
Maximum velocity can be find out using centripetal force,
![F_c = \frac{mv^2}{r}](https://tex.z-dn.net/?f=F_c%20%3D%20%5Cfrac%7Bmv%5E2%7D%7Br%7D)
Must be equal to,
![\frac{mv^2}{r} = \mu_s mg](https://tex.z-dn.net/?f=%5Cfrac%7Bmv%5E2%7D%7Br%7D%20%3D%20%5Cmu_s%20mg)
![v = \sqrt{\mu_s gr}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B%5Cmu_s%20gr%7D)
![v = \sqrt{(0.63)(9.8)(16)}](https://tex.z-dn.net/?f=v%20%3D%20%5Csqrt%7B%280.63%29%289.8%29%2816%29%7D)
![v = 9.93m/s](https://tex.z-dn.net/?f=v%20%3D%209.93m%2Fs)
Therefore the maximum speed that he can travel through the arc without slipping is 9.93m/s