Answer:
a. 1,188 N
b. 1.836
Explanation:
The computation is shown below:
a. For horizontal force, first we need to find out the circular path radius which is shown below:
As we know that
[tex]r = \frac{d}{2}[/tex]
[tex]= \frac{16}{2}[/tex]
= 8m
Now the horizontal force is
[tex]F = \frac{m\times v^2}{r}[/tex]
where,
m = 66 kg
v = 12 m/s
and r = 8 m
Now placing these values to the above formula
So, the horizontal force is
[tex]F = \frac{66\times 12^2}{8}[/tex]
= 1,188 N
b. Now the ratio of force to the weight of skater is
[tex]= \frac{1,188 N}{66\ kg \times 9.8m/s^{2}}[/tex]
= 1.836
