Question

The high-speed winds around a tornado can drive projectiles into trees, building walls, and even metal traffic signs. In a laboratory simulation, a standard wood toothpick was shot by pneumatic gun into an oak branch. The toothpick mass was 0.1 g, its speed before entering the branch was 227 m/s, and its penetration depth was 18 mm. If its speed was decreased at a uniform rate, what was the magnitude of the force of the branch on the toothpick?

Answer 1

143.1361 N

Step-by-step explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration

m = Mass

Equation of motion

`v^2-u^2=2as\\\Rightarrow a=(v^2-u^2)/(2s)\\\Rightarrow a=(0^2-227^2)/(2* 0.018)\\\Rightarrow a=-1431361.11\ m/s^2`

Force

F = ma

`F=0.1* 10^(-3)* -1431361.11\\\Rightarrow F=-143.1361\ N`

The magnitude of the force of the branch on the toothpick is 143.1361 N