Atwood's Machine Simulation: Determining Height with Given Masses

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In the Atwood's machine problem, after mass m2 falls and hits the floor, mass m1 continues to rise due to its initial velocity. The key to solving the problem is determining the velocity of m1 when m2 stops, which is equal to the velocity of m2 just before it hits the ground. This velocity allows for the calculation of the additional height m1 reaches before gravity brings it to a stop. The final height m1 ascends after m2 lands is approximately 0.15 meters. Understanding the conversion of kinetic energy to potential energy is crucial for solving this type of problem.
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help! atwood machine

The two masses in the Atwood's machine shown in the figure below are initially at rest at the same height. After they are released, the large mass, m2, falls through a height h and hits the floor, and the small mass, m1, rises through a height h.

In this Atwood's machine, the mass m2 remains at rest once it hits the floor, but the mass m1 continues moving upward. How much higher does m1 go after m2 has landed? Give your answer for the case h = 5.8 m, m1 = 3.7 kg, and m2 = 3.9 kg.


http://phga.pearsoncmg.com/phga2/modules/unproctoredTest.Print

(the answer is not 5.8 or 0 meters)
 
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Basically the masses accelerate and when m2 stops, m1 is still traveling with some velocity (speed). One has to determine that speed, which then starts decreasing under the force of gravity on m1 only.

These notes might help.
http://hyperphysics.phy-astr.gsu.edu/hbase/atwd.html
 
got it thanks

oops...my mistake (probably from lack of sleep or carelessness)

basicly i forgot to find the velocity of the large mass and that velocity is also for the small mass. so the small mass has kinetic energy until it is over come by gravity at which point (the instant its velocity is 0) it has a potential energy of (v=mgh). after which if freefalls until the string pulls it tight and it stops so basicly.....

Ke=-u
(1/2)m(v^2)=(-)mgh
solve for h as the height of the short freefall and the answer is

tada-------------->0.15m

geez i feel like an idiot...haha but i got it :smile::bugeye:
 
I am working on the same problem, but I am still confused. How did you find the velocity?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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