What constant force does the floor exert

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A 74.4 kg person falls from a height of 1.96 m and bends their knees to stop over 0.906 seconds upon landing. The discussion revolves around calculating the constant force exerted by the floor on each foot during this stopping process. Initial calculations led to confusion, with participants correcting their approach to find the final velocity and acceleration before applying Newton's second law. Ultimately, the correct force exerted by the floor was determined to be approximately 254.4 N per foot, although there were concerns about the accuracy of the problem's parameters. The thread emphasizes the importance of understanding the forces involved and the need for accurate calculations in physics problems.
  • #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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