angular speed of the Ferris wheel is given as
![\omega = \frac{2\pi}{T}](https://tex.z-dn.net/?f=%5Comega%20%3D%20%5Cfrac%7B2%5Cpi%7D%7BT%7D)
![\omega = \frac{2\pi}{37.3} rad/min](https://tex.z-dn.net/?f=%5Comega%20%3D%20%5Cfrac%7B2%5Cpi%7D%7B37.3%7D%20rad%2Fmin)
![\omega = 0.17 rad/min = 2.8 * 10^{-3} rad/s](https://tex.z-dn.net/?f=%5Comega%20%3D%200.17%20rad%2Fmin%20%3D%202.8%20%2A%2010%5E%7B-3%7D%20rad%2Fs)
So the angle rotated by the point in 8.60 min is given as
![\theta = \omega*t](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%5Comega%2At%20)
![\theta = 0.17 * 8.60 = 1.462 rad = 83.8 degree](https://tex.z-dn.net/?f=%5Ctheta%20%3D%200.17%20%2A%208.60%20%3D%201.462%20rad%20%3D%2083.8%20degree)
now the tangential velocity is given by
![v = R\omega = \frac{183}{2}*2.8 * 10^{-3} = 0.26 m/s](https://tex.z-dn.net/?f=v%20%3D%20R%5Comega%20%3D%20%5Cfrac%7B183%7D%7B2%7D%2A2.8%20%2A%2010%5E%7B-3%7D%20%3D%200.26%20m%2Fs)
now the change in velocity is given as
![\Delta v = 2vsin\frac{\theta}{2}](https://tex.z-dn.net/?f=%5CDelta%20v%20%3D%202vsin%5Cfrac%7B%5Ctheta%7D%7B2%7D)
![\Delta v = 2*0.26 * sin\frac{83.8}{2}](https://tex.z-dn.net/?f=%5CDelta%20v%20%3D%202%2A0.26%20%2A%20sin%5Cfrac%7B83.8%7D%7B2%7D)
![\Delta v = 0.35 m/s](https://tex.z-dn.net/?f=%5CDelta%20v%20%3D%200.35%20m%2Fs)
now the average acceleration is given as
![a = \frac{\Delta v}{\Delta t}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B%5CDelta%20v%7D%7B%5CDelta%20t%7D)
![a = \frac{0.35}{8.6*60} = 6.73 * 10^{-3} m/s^2](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B0.35%7D%7B8.6%2A60%7D%20%3D%206.73%20%2A%2010%5E%7B-3%7D%20m%2Fs%5E2)
so above is the average acceleration
She needs to move
km in the east-west direction and
km in the north-south direction so that
![\sqrt{x^2+y^2}=2.17](https://tex.z-dn.net/?f=%5Csqrt%7Bx%5E2%2By%5E2%7D%3D2.17)
and
![\tan29.6^\circ=\dfrac yx](https://tex.z-dn.net/?f=%5Ctan29.6%5E%5Ccirc%3D%5Cdfrac%20yx)
Solve the system to get
![x=1.89\,\mathrm{km}](https://tex.z-dn.net/?f=x%3D1.89%5C%2C%5Cmathrm%7Bkm%7D)
![y=1.07\,\mathrm{km}](https://tex.z-dn.net/?f=y%3D1.07%5C%2C%5Cmathrm%7Bkm%7D)
Answer: An owl cause it is a organism
Explanation:
For any mass m:
a = F/m
v = √2*F/m*s = √2F/sm = k/√m
Momentum = mv = k√m
Energy = 1/ mv² = 1/2 m.k²/m = 1/2k²
SO
Both will have same energy
The larger mass will have greater momentum
They create energy ……………….