When can you assume dynamic equilibrium?

[Coop]

SOLVED

Homework Statement

A 23 kg child goes down a straight slide inclined 38∘ above horizontal. The child is acted on by his weight, the normal force from the slide, and kinetic friction. Find the magnitude of the normal force.

Homework Equations

cos(theta)=adjacent/hypotenuse

The Attempt at a Solution

I have the answer:

ƩF_y=(F_k)_y + n_y + w_y

Where F_k is kinetic friction, n is normal force and w is weight

ƩF_y=0+n_y+(-178 N) <- 23 kg * 9.81 m/s^2 = 226 N, 226N * cos(38) = 178 N

Now I know the answer is 180 N (rounded), but for that to be true, ƩF_y would have to equal 0, which means that the F_net would equal 0, which would mean that the kid is in dynamic equilibrium and has an acceleration equal to 0. But why is this true? Wouldn't the kid be accelerating while going down the slide?

Thanks,
Coop

 

[Coop]

I figured it out. I forgot to to remember that the kid is on an incline, but how I drew it is having the X-axis horizontal, therefore there will not be any acceleration along the Y-axis.