Unknown mass on a pulley system - Help

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SUMMARY

The discussion focuses on solving a physics problem involving a pulley system with a 100 kg block and an unknown mass. The block descends 1.0 m in 6.0 seconds, prompting the need to calculate the unknown mass using Newton's Second Law. The user initially misapplies the tension equations and the acceleration formula, leading to incorrect conclusions. The correct approach involves adjusting the signs in the tension equation to accurately reflect the direction of forces acting on the masses.

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dazedconfused
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Homework Statement


The 100 kg block shown in the diagram takes 6.0s to reach the floor 1.0m below after being released from rest. What is the mass of the block on the left?

Homework Equations


Newton's Third Law
F=ma
F (a on b) = -F (b on a)

The Attempt at a Solution



I don't even know where to start, I was sick last class and can't figure out how to do this from the textbook. I've tried so far:
T1 = tension rope 1
T2 = tension rope 2
t0= 0s
t1= 6s
d=1.0m
g=9.8m/s^2
m1=unknown, find
m2=100kg
mass M: Fy = 0
T1-mg=0
T1=mg

T2= mg = (100kg)(9.8m/s^2)
= 980N

And now I'm lost.
 

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Start over.

(1) Calculate the acceleration from the given information.

(2) Apply Newton's 2nd law to each mass. This will allow you to solve for the tension in the rope and for the unknown mass.
 
By using Newton's 2nd law,

d=0.5at2 (since v0 is zero),

I got an a=0.0556 m/s^2

Now, since they're on a pulley,

a= (m2g-m1g) / (m2+m1)

Plugging in, I get:

0.0556 = [(100kg*9.8m/s^2)-(m1*9.8m/s^2)] / 100kg + m1

rearranging, 5.56 + 0.0556 m1 = 980 - 9.8 m1
m1 = 100 kg

I know that's not the right answer, where am I going wrong?
 
The only error I see is here:
dazedconfused said:
a= (m2g-m1g) / (m2+m1)
You have the signs of the two weights reversed. (Take positive to be in the direction of the acceleration.)
 

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