Free Fall and Tension in a cable

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SUMMARY

The discussion centers on calculating the tension in a cable when a monkey jumps from a ledge inside a crate. The tension is 147 N when the monkey is at rest and drops to 49 N during free fall. The user calculates the stopping tension as 392 N using impulse and momentum principles, concluding that the net force acting on the system is 441 N. The calculations involve applying Newton's second law and kinematic equations to derive the necessary values.

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swannyboy
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Homework Statement



A crate is hanging from a cable as shown in the diagram. A monkey that is inside the crate, sits on a ledge that is 1.225m above the bottom of the crate. The monkey steps off the ledge and when he hits the bottom of the ledge, it takes .125 s to stop.

The tension in the cable is 147 N when the monkey is sitting on the ledge and 49.0N while he is falling.

Calculate the tension in the c able during the .125 s that he is stopping at the bottom of the crate.
[URL]http://img130.imageshack.us/i/52884921.jpg/[/URL]

Homework Equations



Not exactly sure- it's in a booklet for my comprehensive final exam. It seems like it's mostly applications of:
slope = rise/run
Area = 1/2base x height
and F = ma

The Attempt at a Solution



Basically what I've done is this:
Tension in the string = force of gravity

Tension = mg
147N = m(9.8N/kg)
M = 15 kg total

Tension = mg
49.0 = m(9.8N/kg)
m = 5kg

So the monkey's mass is 10 kg.

When the monkey jumps off, he Accelerates at 9.8m/s^2 for 1.225meters

d=1/2vt
2.45m/v = t

A = (v2-v1)/(t2-t1)
A =(V^2)/(2.45m)
24.01 = v^2
V = 4.9m/s

D = 1/2vt
2.45m = (4.9m/s)t
t = 0.5s

I think I'm going in the right direction, but I don't know where to go from here.
 
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Now if I try using momentum.../
F(delta_t) = m (delta_v)
= (10kg)(4.9m/s)
Impulse = 49 kgm/s

49kgm/s = F (0.125s)
F = 392 N

Fnet = fg + fa
Fnet = 49N + 392N
Fnet = 441N

So, is that what the tension would be?
 

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