Force Vector Problem: Find Magnitude of Force on Rider from Motorcycle

[Elmnt]

Homework Statement

A motorcycle and 67.0 kg rider accelerate at 3.2 m/s2 up a ramp inclined 10° above the horizontal.

What is the magnitude of the force on the rider from the motorcycle?

Homework Equations

I set my 90 degree axis so that my x-axis lined up with the acceleration up the ramp and my y-axis lined up with the normal force. So my y component would be
normal force-mass*gravity*cos 10° = mass*acceleration y

The Attempt at a Solution

I am thinking that the normal force is the force on the rider from the bike and with the way my axis is set up there will be no y acceleration so,

normal force= mass*gravity*cos10°

it gives and answer of 646.62 N but they say this answer is wrong. Am I missing something or misinterpreting?

 

[cepheid]

Am I missing something or misinterpreting?

Well, for some reason you are calculating only the normal force, when this is not what is being asked for.

 

[Elmnt]

I'm sorry I didn't post the first question asked. Which was:
(a) What is the magnitude of the net force on the rider?

Which I found to be 214.4 N.

I am missing something, What am I supposed to calculate? Isn't normal force the only force from the motorcycle onto the rider? My only other thought is including the acceleration caused by the bike.

 

[cepheid]

Isn't normal force the only force from the motorcycle onto the rider?

No. If this were the case, why would the rider be accelerating up the ramp?

 

[Elmnt]

I wasn't paying attention to the force from the motorcycle the accelerates the rider up the ramp. With that now understood I can take the normal force that I had found and use it as a y component and then find the force that the bike applies to the rider going up the ramp and use that as the x component on the rider. Solving for these two components should give me my magnitude of force on the rider from the bike.