Will I Slide in My Seat During a 2km Level Turn at 400km/hr in an Airplane?

[pb23me]

Homework Statement

you are sitting in an airplane. you have a window seat. the plane makes a level turn of 2km at speed 400km/hr. the coefficient of static friction btwn you and the seat is .35 Then they ask is the frictional force sufficient to keep you moving in a radius of 1km at a speed of 400km/hr. would you slide in your seat?

Homework Equations

(v^2/r)=a

The Attempt at a Solution

I am not sure what they mean by"is the frictional force sufficient to keep you moving in a radius of 1km" what does the frictional force have to do with keeping me moving? and I am not sure how I am supposed to go about calculating anything without an angle. i drew a force diagram see pic.

 

[cepheid]

You're parsing the statement wrong. It's, "is the frictional force enough to keep you moving in a radius of 1 km." Remember that a certain amount of centripetal force is required to maintain circular motion at a certain radius and a certain speed.

Remember also Newton's first law. Although the plane is accelerating (curving), your body wants to keep going in a straight line. The friction with the seat is what is providing the centripetal force that keeps you moving in a circle. If it is insufficient, well...you will slide tangentially to the curve.