Force applied to a net after dropping

AI Thread Summary
A boy with a mass of 78 kg falls with an acceleration of 4g until he hits a net, raising the question of the force he exerts on the net. The initial calculation of 3.1 kN is based on the formula F = m*a, but the teacher's answer of 3.9 kN suggests a different interpretation. The key issue is the ambiguity in the problem statement regarding the nature of the net and the conditions of the fall. It is clarified that the force on the net should be calculated based on the deceleration experienced upon impact, not just the weight of the boy. The discussion highlights the importance of clear problem formulation in physics exercises.
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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