Impulse of a firefighter's net on boy

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Homework Help Overview

The problem involves a boy of mass 60.0 kg who jumps from a height of 8.0 m into a firefighter's net, with the goal of determining the change in momentum, impulse, and average force during the landing process. The context includes the effects of gravity and the time taken to come to a stop.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the calculation of change in momentum and impulse, questioning how to incorporate gravity into the impulse calculation. There is uncertainty about the average force calculation and whether the initial impulse value should be adjusted for gravitational effects.

Discussion Status

Some participants have provided calculations and interpretations regarding the impulse and forces involved, while others are questioning the assumptions made, particularly concerning the role of gravity in the calculations. There is no explicit consensus on the correct approach to the impulse calculation.

Contextual Notes

Participants are navigating the implications of not ignoring gravity in the impulse calculation, and there is confusion regarding the relationship between impulse, force, and acceleration in this context.

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Homework Statement


A boy of mass 60.0 kg is rescued from a hotel fire by leaping into a firefighter's net. The window from which he leapt was 8.0 m above the net. The firefighters lower their arms as he lands in the net so that he is brought to a complete stop in a time of 0.40 s.

1.What is his change in momentum during the 0.40 s interval?
Answer: 751.2 kg·m/s

2.What is the impulse on the net due to the boy during the interval? [Hint: Don't ignore gravity.]
Answer: N·s

3.What is the average force on the net due to the boy during the interval?
Answer: kN i got 1878 N and converting to kN is 1.88 kN but for some reason it indicates it is wrong

Homework Equations


1.V=u+2gh
Δp=mxΔv

2.i don't know

3.F=Δp/t

The Attempt at a Solution



on 2. I don't know what to do since it mentions not to ignore gravity does that means i just have to multiply answer1xgravity?

What is wrong with number 3? I thought i got it right since i just did 751.2/.40s=1878 N
 
Last edited:
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The net force exerted an impulse of 751.2 kg·m/s, bringing the boy to rest. However, the net force is composed of the force on the net and gravity.
 
ideasrule said:
The net force exerted an impulse of 751.2 kg·m/s, bringing the boy to rest. However, the net force is composed of the force on the net and gravity.

Is this mean for problem 2, we:

751.2 * 9.8 = 7361.76 correct?
 
No. What does impulse times acceleration equal? (Hint: not anything meaningful for this question)
 

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