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In an egg-dropping contest, a student encases an 85-g egg in a large Styrofoam block. If the force on the egg can’t exceed 28 N, and if the block hits the ground at 12 m/s, by how much must the Styrofoam compress on impact? NOTE: The acceleration associated with stopping the egg is so great that you can neglect gravity while the Styrofoam block is slowing due to contact with the ground.

Respuesta :

Answer:

x=0.22m

Explanation:

Hello! Let's solve this!

We have the following data

m = 0.085kg

F = 28N

vi = 0m / s

vf = 12m / s

We need the acceleration that we can calculate from the following formula

F = m * a

a = F / m = 28N / 0.085kg

a = 329.41m / s2

According to the equation of the kinematics

[tex]vf^{2}=vi^{2}+2*a*x[/tex]

We can clear x and thus get the answer.

[tex]x=(vf^{2}-vi^{2})/(2*a)[/tex]

[tex]x=(12m/s^{2}-0)/(2*329.41m/s^{2})[/tex]

x=0.22m

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