The blocks of mass 𝑚 each are connected to a spring of spring constant 𝑘 as shown in figure. The maximum displacement in the block is

Question: The blocks of mass 𝑚 each are connected to a spring of spring constant 𝑘 as shown in figure. The maximum displacement in the block is

(A) \sqrt{\dfrac{2mv^{2}}{k}}

(B) \sqrt{\dfrac{mv^{2}}{k}}

(C) 2\sqrt{\dfrac{mv^{2}}{k}}

(D) 2\sqrt{\dfrac{k}{mv^{2}}}

Answer: Option (A)

Solution:

The blocks of mass 𝑚 each are connected to a spring of spring constant 𝑘 as shown in figure. The maximum displacement in the block is
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