Force applied to a net after dropping

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Homework Help Overview

The problem involves a boy falling with an acceleration of 4g until he impacts a net, with a focus on determining the force exerted on the net. The subject area pertains to dynamics and forces in physics.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the application of the formula F=m*a and question the interpretation of the problem, particularly regarding the nature of the net and the conditions of the fall. There is also a consideration of the difference between resultant force and average force exerted on the net.

Discussion Status

There is an ongoing exploration of the problem's assumptions and interpretations, with some participants suggesting that the exercise may be misworded or unclear. Clarifications regarding the scenario and the forces involved are being discussed, but no consensus has been reached.

Contextual Notes

Participants note the ambiguity in the problem statement, particularly regarding the net's properties and the implications of a 4g acceleration during free fall. There is also mention of the teacher's interpretation leading to a different expected answer.

Toke
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Homework Statement


Q: A boy falls with the acceleration 4g in a free fall until he hits a net. His mass is 78kg. You can ignore other forces. With what force does he influence the net?

Homework Equations


F=m*a

The Attempt at a Solution


I use the formula F=m*a which gives med 78kg*4*(9.82m/s2)=3,1kN. My teacher did though tell me that the answer were 3,9kN, but i can't figure out what formula to use then. What have i missed?
 
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Toke said:

Homework Statement


Q: A boy falls with the acceleration 4g in a free fall until he hits a net. His mass is 78kg. You can ignore other forces. With what force does he influence the net?

Homework Equations


F=m*a

The Attempt at a Solution


I use the formula F=m*a which gives med 78kg*4*(9.82m/s2)=3,1kN. My teacher did though tell me that the answer were 3,9kN, but i can't figure out what formula to use then. What have i missed?
The 3100 N is the resultant force exerted on the boy by his weight and the net. The problem is looking for the average force exerted on the net by the boy.
 
Hello Toke, welcome to PF :)

As formulated in post #1, this is an impossible exercise.
First, it is strange that a free fall can take place with an acceleration 4g, but perhaps this is taking place on another planet.
Second, and more important: nothing is said about the net. Is it a steel grid like they use to reinforce concrete ?
Or is it made up of a lot of nice soft rubber bands ? :nb)

My guess is that the intention of the exercise was something like: a boy makes a free fall until he hits a net.
When he hits the net, his deceleration is 4g. What is the force he exercises on the net ?

If I'm guessing correctly, you can get the desired answer from a free body diagram or from ##\Sigma F = ma##
 
PhanthomJay said:
The 3100 N is the resultant force exerted on the boy by his weight and the net.
To clarify, that is with the interpretation BvU offers:
BvU said:
a boy makes a free fall until he hits a net.
When he hits the net, his deceleration is 4g. What is the force he exercises on the net ?
 
haruspex said:
To clarify, that is with the interpretation BvU offers:
Right, and apparently the way teacher interprets it with the given answer. Not worded well for sure.
 

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