Finding final velocity from a fall

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Homework Help Overview

The problem involves calculating the final velocity of a person jumping from a height of 25 meters, considering gravitational acceleration and air resistance. The subject area includes dynamics and kinematics, specifically focusing on forces and motion under gravity.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants discuss the application of Newton's second law (F=ma) to determine the acceleration of the person during the fall, questioning the correctness of the initial calculations. Some suggest using work-energy principles to relate work done to kinetic energy. Others raise concerns about unit consistency and the forces acting on the person.

Discussion Status

There is ongoing exploration of different approaches to the problem, with some participants expressing uncertainty about the calculations and assumptions made. A few participants indicate that they arrive at the same final velocity, while others question the accuracy of the original poster's method and results.

Contextual Notes

Participants are considering the effects of air resistance and the need for proper unit cancellation in their calculations. There is also mention of significant figures and rounding, which may affect the final answer.

lzh
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I'm having trouble with this problem:
"A 79kg person escapes from a burning building by jumping from a window 25m above a net.
The acceleration of gravity is 9.81 m/s^2
Assuming that air resistance is a constant 88 N force on the person during the fall, find the person's velocity just before hitting the net"
So for this problem i used F=ma:
79g-88=79a
a=8.6861m/s^2
this is the correct acceleration i believe and to find final velocity i used:
Vf^2=Vi^2+2ad where d is displacement
Vf^2=2(8.6861)(25)
vf=20.85m/s
I'm using utexas's webhw service, and the answer above was not correct, can someone tell me what I'm doing wrong?
 
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not 100% sure on this but i think:
the 79g-88N=79a is wrong the units don't cancel out properly, you know the 88N upward on the person what's the force he excerts downard?
with those two figures you can use F=ma knowing F and m to determine the actual a, and plug that into the Vf^2=Vi^2+2ad equation
 
I solved the problem by calculating the amount of downward force one the person; mainly his weight minus the resistance. Then I used that F in the work formula; W=FD. D would be the 25m. I got the W in Jules so I let that W = KE, which is kinetic Energy. so, W = MV^2. and solved for the desired quantity.
Same ans. So I suppose you’re ans is right.
 
bob1182006 said:
not 100% sure on this but i think:
the 79g-88N=79a is wrong the units don't cancel out properly, you know the 88N upward on the person what's the force he excerts downard?
with those two figures you can use F=ma knowing F and m to determine the actual a, and plug that into the Vf^2=Vi^2+2ad equation
79g is his weight, which is in N, which cancels out
bob1182006 said:
I solved the problem by calculating the amount of downward force one the person; mainly his weight minus the resistance. Then I used that F in the work formula; W=FD. D would be the 25m. I got the W in Jules so I let that W = KE, which is kinetic Energy. so, W = MV^2. and solved for the desired quantity.
Same ans. So I suppose you’re ans is right.
but it isn't right...
 
bob1182006 said:
not 100% sure on this but i think:
the 79g-88N=79a is wrong the units don't cancel out properly, you know the 88N upward on the person what's the force he excerts downard?
with those two figures you can use F=ma knowing F and m to determine the actual a, and plug that into the Vf^2=Vi^2+2ad equation

I'm not sure wat u mean. But the unites do cancel out propely:
(790N-88N)/79 = a.
 
well N is kg*m/s^2 79kg is just the weight you're missing the acceleration (gravity)
 
Typo:
*79kg.
 
yeah g as in acceleration due to gravity
 
sry was distracted >.< i get the same answer as you.
are you providing the required number of significant digits?
 
  • #10
rounding and sig figs doesn;t matter
 
  • #11
out of curiosity; what kind of deceleration is applied form falling on the net for a safe landing. Too much would cause the person to recoil up. too little would cause he/she to hit the ground.
 
  • #12
lzh said:
I'm having trouble with this problem:

So for this problem i used F=ma:
79g-88=79a
a=8.6861m/s^2
this is the correct acceleration i believe and to find final velocity i used:
Vf^2=Vi^2+2ad where d is displacement
Vf^2=2(8.6861)(25)
vf=20.85m/s
Your method and answer look correct to me.
 

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