contestada

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?

Respuesta :

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