Solving for the Distance of Fall for 4kg Block

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A 4 kg block is hung from a spring that previously held a 3 kg block, which caused a 6 cm stretch at equilibrium. When the 4 kg block is released from the unstretched position, it will fall a distance that is twice the amplitude of the oscillation. The relevant equation provided is Y2 = Y1(M2/M1), which leads to a calculation suggesting Y2 equals 8 cm. However, the discussion highlights a lack of clarity on the underlying physics concepts, such as stretch, energy storage, and force. Understanding these principles is essential for solving the problem accurately.
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Homework Statement


A block of mass 3 kg is hung from a spring, causing it to stretch 6 cm at equilibrium, as shown below. The 3 kg block is then replaced by a 4 kg block, and the new block is released from the position shown below, at which point the spring is unstretched. How far will the 4 kg block fall before its direction is reversed? Hint: for the new block case, the total distance of fall is twice the amplitude of the oscillation. The acceleration of gravity is 9.8 m/s2


Homework Equations


My teacher give me this equation. Y2= Y1(M2/M1)


The Attempt at a Solution


Y2=6(3/4) = 8
 
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redhot209 said:

Homework Statement


A block of mass 3 kg is hung from a spring, causing it to stretch 6 cm at equilibrium, as shown below. The 3 kg block is then replaced by a 4 kg block, and the new block is released from the position shown below, at which point the spring is unstretched. How far will the 4 kg block fall before its direction is reversed? Hint: for the new block case, the total distance of fall is twice the amplitude of the oscillation. The acceleration of gravity is 9.8 m/s2


Homework Equations


My teacher give me this equation. Y2= Y1(M2/M1)


The Attempt at a Solution


Y2=6(3/4) = 8

Explain your reasoning. There's lots of fun physics in this problem... and you aren't discussing it! (Your answer also doesn't have units... and you don't seem to know where the equation comes from. I honestly don't either. I'd trace through things I do know, about stretch, energy stored, force...
 
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