Knot the snake?

Question

A snake of mass M, length L, and diameter D keeps a prey. To detach the snake from its prey, one needs to apply force F to the snakes tail. How fast can the snake tie a knot in the middle of its body, without releasing the prey?

Answer 1

5 seconds. I am prolly wrong but its worth a shot!

Answer 2

The knot reduces the nose-to-tail length L of the snake by ceratin amount ΔL ~ D(π+1)

http://www.bagelandgriff.com/images/D/ki...

The mass contained in the knot is

ΔM = M ΔL/L ~ (π+1) M D/L

The snake forms initail seed knot on the tip of tail and then accelerates the knot towards the middle of the body with acceleration a.

Distance travelled by the knot is

L/2  = 1/2 at² = 1/2 F/ΔM t²

t  = √(L ΔM / F)

Answer:

time ~ √(π+1) √(MD/F)