Force Exerted by Road on an Accelerating Car

AI Thread Summary
To determine the force exerted by the road on the SUV, the acceleration of the vehicle is calculated to be approximately 2.98 m/s². Using Newton's second law, the horizontal force (Fx) is found to be 6854.61 N, while the vertical force (Fy) due to gravity is 22540 N. The user is uncertain about how to combine these forces to find the total force exerted by the road. They mention a method involving the square root of the sum of the squares of Fx and Fy, but this approach did not yield the correct answer. Clarification on the correct method to find the resultant force is requested.
yoshi824
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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
Fx = ma = 2.98*2300 = 6854.61 N

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

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