Calculate the contact force between the skis and the track

[Alexanddros81]

Homework Statement

14.37 A 75-kg ski jumper starts his run in the position shown on the parabolic
track. The equation of the parabola is $y = (12/225)x^2$, where x and y are in meters.
Neglecting friction, calculate the contact force between the skis and the track at O.

Homework Equations

The Attempt at a Solution

[/B]
At pont A (start of run):

$Vg_A=mg(12)$
$T_A=0$

At pont O:

$Vg_O = 0$
$T_O=1/2mv_O^2$

Something is missing?
Any hints how to continue?

 

[BvU]

Something is missing?

Indeed ! Some relevant equations featuring the variables and given information !

 

[haruspex]

how to continue?

So can you find the velocity at O?
What else do you need to know to figure out the force there?