Finding final velocity from a fall

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SUMMARY

The discussion centers on calculating the final velocity of a person jumping from a height of 25 meters, considering gravitational acceleration and air resistance. The correct approach involves using Newton's second law (F=ma) to find the net acceleration, which is 8.6861 m/s² after accounting for a constant air resistance of 88 N. The final velocity is calculated using the kinematic equation Vf² = Vi² + 2ad, resulting in a final velocity of 20.85 m/s just before impact with the net. Participants confirm the calculations but emphasize the importance of correctly applying forces and units in the equations.

PREREQUISITES
  • Understanding of Newton's second law (F=ma)
  • Familiarity with kinematic equations, specifically Vf² = Vi² + 2ad
  • Knowledge of forces, including weight and air resistance
  • Basic principles of energy conservation, particularly kinetic energy (KE)
NEXT STEPS
  • Study the effects of air resistance on falling objects in physics
  • Learn about energy conservation principles, focusing on work and kinetic energy
  • Explore advanced kinematic equations and their applications in real-world scenarios
  • Investigate the impact of varying forces on acceleration and final velocity
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Physics students, educators, and anyone interested in understanding the dynamics of free fall and the effects of forces on motion.

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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