What constant force does the floor exert

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SUMMARY

The discussion centers on calculating the constant force exerted by the floor on a 74.4 kg person who falls from a height of 1.96 m and bends his knees to stop over 0.906 seconds. The correct force calculated is approximately 254.4 N per foot, derived from the equations of motion and Newton's second law. The participants clarify the importance of accurately determining the final velocity just before impact and the net forces acting on the individual during the stopping phase.

PREREQUISITES
  • Understanding of Newton's second law (f=ma)
  • Familiarity with kinematic equations, specifically Vf^2 = Vi^2 + 2ad
  • Knowledge of force diagrams and net force calculations
  • Basic grasp of gravitational force calculations (Fg = mg)
NEXT STEPS
  • Study the derivation and application of kinematic equations in free fall scenarios
  • Learn about force diagrams and how to analyze forces acting on an object
  • Explore the concept of impulse and momentum (Δp = Favg * Δt)
  • Investigate the effects of bending knees on impact forces in biomechanics
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Physics students, educators, and anyone interested in understanding the dynamics of falling objects and the forces involved in impact scenarios.

  • #31
HJ^2 said:
Forgot I had already incorporated 9.8 (gravity) already, my mistake.

Since acceleration is the result of NF; would it not be mass * acc (f=ma)
Yes, but expand that net force into a sum of forces.
 
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  • #32
haruspex said:
Yes, but expand that net force into a sum of forces.
okay; sum of forces, as in, Fnet = m*a of which Fnet covers x / y values like friction, gravity, normal force? Am I missing something?
 
  • #33
HJ^2 said:
okay; sum of forces, as in, Fnet = m*a of which Fnet covers x / y values like friction, gravity, normal force? Am I missing something?
Sure, but write out what Fnet is here, in terms of normal force etc. There are only vertical forces involved, so it's easy. Remember, the normal force is what you are asked to find, so it's an unknown at this stage.
 
  • #34
haruspex said:
Sure, but write out what Fnet is here, in terms of normal force etc. There are only vertical forces involved, so it's easy. Remember, the normal force is what you are asked to find, so it's an unknown at this stage.
So fnet would equal Fg + Fn = m*a
 
  • #35
HJ^2 said:
So fnet would equal Fg + Fn = m*a
Right. The only unknown there is Fn. Solve.
 
  • #36
haruspex said:
Right. The only unknown there is Fn. Solve.
Fn = (m*a) - Fg

With variables is;

Fn = (74.4 * 6.8411) - 9.8 = 499.177 ?
 
  • #37
HJ^2 said:
Fn = (m*a) - Fg

With variables is;

Fn = (74.4 * 6.8411) - 9.8 = 499.177 ?
Fg is not 9.8 For one thing, it will be negative (since you have chosen up as positive).
 
  • #38
haruspex said:
Fg is not 9.8 For one thing, it will be negative (since you have chosen up as positive).

Fgrav = -9.8*74.4?
If that's right, then;
Fn = (74.4*6.8411) - (-729.12) = 1238.10
 
  • #39
HJ^2 said:
Fgrav = -9.8*74.4?
If that's right, then;
Fn = (74.4*6.8411) - (-729.12) = 1238.10
Right (but shared across two feet).
So, do you see where your prof went wrong?
 
  • #40
haruspex said:
Right (but shared across two feet).
So, do you see where your prof went wrong?
Absolutely. I'll have to bring it up to her as I'm sure my class mates had similar concerns.
 
  • #41
HJ^2 said:
Absolutely. I'll have to bring it up to her as I'm sure my class mates had similar concerns.
Good.
On a side note, if you calculate how far the athlete's mass centre must travel after touch down and before coming to rest, it's about 3m!
 
  • #42
haruspex said:
Good.
On a side note, if you calculate how far the athlete's mass centre must travel after touch down and before coming to rest, it's about 3m!
Oh thanks! And thank you so much for your help + everyone else in this thread :)
 

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