Mastering Motion on a Plane: Solving the Defiance Drake Question

[CJoy]

Homework Statement

Defiance Drake is fleeing a Cubarb parasite (evil creatures which are floating multicolored cubes and eat humans) in a seemingly derelict cargo freighter. In addition to the recoil she gained from flinging her air cannister at the parasite, she once more uses her jet boots to give herself a velocity of 5 m/s (as a reminder her mass is 70 kg). Ahead of her, the corridor takes a 90 degree turn to the right. Defiance grabs a handhold on the wall intending to swing around the corner (describing part of a circle). If her arms can provide up to 3000 N of force before buckling, and are 0.85m long, can she make the turn? If she makes the turn (at constant speed), how would her velocity change?

Relevant Equations

F=ma
a=v^2/r
F=mv^2/r
a(x)=(-pCA/2m)*v(x)*sqrt(v(x)^2+v(y)^2)
a(y)=-g-(-pCA/2m)*v(y)*sqrt(v(x)^2+v(y)^2)

This is the start of a new topic (Dynamics 2: Motion on a Plane) and I don't know how to start the problem

 

[haruspex]

Homework Statement: Defiance Drake is fleeing a Cubarb parasite (evil creatures which are floating multicolored cubes and eat humans) in a seemingly derelict cargo freighter. In addition to the recoil she gained from flinging her air cannister at the parasite, she once more uses her jet boots to give herself a velocity of 5 m/s (as a reminder her mass is 70 kg). Ahead of her, the corridor takes a 90 degree turn to the right. Defiance grabs a handhold on the wall intending to swing around the corner (describing part of a circle). If her arms can provide up to 3000 N of force before buckling, and are 0.85m long, can she make the turn? If she makes the turn (at constant speed), how would her velocity change?
Homework Equations: F=ma
a=v^2/r
F=mv^2/r
a(x)=(-pCA/2m)*v(x)*sqrt(v(x)^2+v(y)^2)
a(y)=-g-(-pCA/2m)*v(y)*sqrt(v(x)^2+v(y)^2)

This is the start of a new topic (Dynamics 2: Motion on a Plane) and I don't know how to start the problem

You may be confused by the reference to her arms buckling. I am.
I would assume the handhold is on the right-hand wall, and the problem is not whether her arms would buckle but whether (either) her arms would dislocate or her hands lose their grip. I.e. the arms are under tension, not compression.
You have quoted a suitable equation. Apply it.