Answer:
force of 279 N
53.75 degrees from east to north
Explanation:
let net force be F , Fn - north force , Fe - east force
![F^{2} =F_e^{2} +F_n^{2} \\=225^{2} +165^{2} \\=77850\\\\F=\sqrt{77850} \\=279 N](https://tex.z-dn.net/?f=F%5E%7B2%7D%20%3DF_e%5E%7B2%7D%20%2BF_n%5E%7B2%7D%20%5C%5C%3D225%5E%7B2%7D%20%2B165%5E%7B2%7D%20%5C%5C%3D77850%5C%5C%5C%5CF%3D%5Csqrt%7B77850%7D%20%5C%5C%3D279%20N)
let the direction be α angle from east to north
![tan( \alpha)=\frac{F_n}{F_e} =\frac{225}{165} \\=1.3636\\\\\alpha =tan^{-1} (1.3636)\\=53.75 degrees](https://tex.z-dn.net/?f=tan%28%20%5Calpha%29%3D%5Cfrac%7BF_n%7D%7BF_e%7D%20%3D%5Cfrac%7B225%7D%7B165%7D%20%5C%5C%3D1.3636%5C%5C%5C%5C%5Calpha%20%3Dtan%5E%7B-1%7D%20%281.3636%29%5C%5C%3D53.75%20degrees)
Explanation:
The energy of a wave is given by :
![E=\dfrac{hc}{\lambda}](https://tex.z-dn.net/?f=E%3D%5Cdfrac%7Bhc%7D%7B%5Clambda%7D)
Where
h is Planck's constant
c is the speed of light
is wavelength
Energy is inversely proportional to wavelength. Also, the relation between frequency and wavelength is inverse.
If the frequency is high, the wavelength will be shorter.
Hence, the correct options are :
Higher frequencies have shorter wavelengths.
Shorter wavelengths have lower energy.
Lower frequencies have lower energy.