Calculating Deceleration and Force of Impact: Skateboarding Physics Homework

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SUMMARY

Leroy, with a mass of 100 kg, experiences a deceleration of 45 m/s² when colliding with a brick wall while skateboarding at 9.0 m/s, coming to a complete stop in 0.2 seconds. The calculations confirm that the force of impact is 4500 N, derived from the equation F = ma, where 'm' is Leroy's mass and 'a' is the calculated deceleration. The relevant equations include v(t) = v0 + at, which is essential for determining the deceleration in this scenario.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion (F = ma)
  • Knowledge of kinematic equations, specifically v(t) = v0 + at
  • Basic concepts of mass and weight (Weight = mg)
  • Familiarity with units of measurement in physics (m/s, kg, N)
NEXT STEPS
  • Study the derivation and application of kinematic equations in physics.
  • Learn about the implications of force and deceleration in real-world scenarios.
  • Explore advanced topics in dynamics, including impulse and momentum.
  • Investigate the effects of different surfaces on deceleration during collisions.
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Students studying physics, particularly those focusing on mechanics, as well as educators seeking to explain concepts of force and motion in practical scenarios.

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Homework Statement



Leroy, who has a mass of 100kg, is skateboarding at 9.0 m/s when he smacks into a brick wall and comes to a dead stop in .2s

a. Show that his deceleration is 45 m/s^2.
b. Show that the force of impact is 4500N.


Homework Equations


I think the only equations that are needed are these:
a= NetForce/m
Weight = mg
Force= ma


The Attempt at a Solution



I tried a number of things, but I couldn't figure out how to get the deceleration. It's not in my book anywhere. All I have are the equations for acceleration. I've tried various configurations, but nothing seems to make sense.
 
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You can not use only 1 eq to find 2 variables. The 2nd eq you need is:
v(t) = v0 + at

Because he stops after 0.2s => v(0.2s) = 0. Plug them and find a => F
 

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