Answer:
143.1361 N
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration
m = Mass
Equation of motion
[tex]v^2-u^2=2as\\\Rightarrow a=\frac{v^2-u^2}{2s}\\\Rightarrow a=\frac{0^2-227^2}{2\times 0.018}\\\Rightarrow a=-1431361.11\ m/s^2[/tex]
Force
F = ma
[tex]F=0.1\times 10^{-3}\times -1431361.11\\\Rightarrow F=-143.1361\ N[/tex]
The magnitude of the force of the branch on the toothpick is 143.1361 N