Explanation:
Formula to calculate the magnitude of N is as follows.
N = [tex]mg Cos (30) + \frac{mv^{2}}{r}[/tex]
Putting the given values into the above formula and calculate the magnitude as follows.
N = [tex]mg Cos (30) + \frac{mv^{2}}{r}[/tex]
= [tex]180 \times (32.17 \times \sqrt{\frac{3}{2}} + \frac{(80)^{2}}{150})[/tex]
= 12694.8 [tex]lb.ft/s^{2}[/tex]
and, [tex]\frac{12694.8}{32.17}[/tex]
= 394.6 lb
Hence, we can conclude that the magnitude N of the normal force exerted by the snow on his skis just before he reaches A is 394.6 lb.
