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TS EAMCET · Physics · Laws of Motion

A body of mass \(m\) is suspended to an ideal spring of force constant \(k\). The expected change in the position of the body due to an additional force \(F\) acting vertically downwards is

  1. A \(\frac{3 F}{2 k}\)
  2. B \(\frac{2 F}{k}\)
  3. C \(\frac{5 F}{2 k}\)
  4. D \(\frac{4 F}{k}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{2 F}{k}\)

Step-by-step Solution

Detailed explanation

Let the change in position of the body due to additional force is \(x\). So, \(\begin{aligned} & F=\frac{1}{2} k x \\ & x=\frac{2 F}{k} \end{aligned}\) \(\therefore \quad x=\frac{2 F}{k}\)
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