Work Power and Energy 2 Question 1

1. A block (B) is attached to two unstretched springs $S _1$ and $S _2$ with spring constants $k$ and $4 k$, respectively. The other ends are attached to two supports $M _1$ and $M _2$ not attached to the walls. The springs and supports have negligible mass. There is no friction anywhere.

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Answer:

Correct Answer: 1. (c)

Solution:

  1. From energy conservation,

$$ \begin{aligned} \frac{1}{2} k x^{2} & =\frac{1}{2}(4 k) y^{2} \\ \therefore \quad \frac{y}{x} & =\frac{1}{2} \end{aligned} $$



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