Force Exerted by Road on an Accelerating Car

[yoshi824]

Homework Statement

A huge SUV of mass 2300 kg can accelerate from 0 to 60 mi/h in 9.0 s. What force does the road exert on the SUV?

V₀ = 0
V= 60mph or 26.8224m/s
M= 2300kg
t=9s

Homework Equations

F=ma

The Attempt at a Solution

a= (26.8224) / 9 = 2.98
F_x = ma = 2.98*2300 = 6854.61 N

F_y = m*g = 2300*9.8 = 22540 N

So those are the two forces that I was able to calculate but I am not sure how I find the force exerted by the road on the car. Any help would be greatly appreciated! Thanks!

other info: I read somewhere that the force would be sqrt (Fx² + Fy²) but that didn't give me the right answer if my above work is correct.

 

[Spinnor]

If you made a mistake I would like to know what it is. Your work looks right to me.