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AP EAMCET · PHYSICS · Oscillations

A \(1 \mathrm{~kg}\) block situated on a rough incline is connected to a spring of negligible mass having spring constant \(100 \mathrm{Nm}^{-1}\) as shown in the figure. The block is released from rest with the spring in the unstretched position. The block moves \(10 \mathrm{~cm}\) down the incline before coming to rest. The coefficient of friction between the block and the incline is
(Take \(\mathrm{g}=10 \mathrm{~ms}^{-2}\) and assume that the pulley is frictionless).

  1. A \(0.2\)
  2. B \(0.3\)
  3. C \(0.5\)
  4. D \(0.6\)
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Answer & Solution

Correct Answer

(B) \(0.3\)

Step-by-step Solution

Detailed explanation

The correct option is \(\mathbf{B} 0.3\) Here, \(m=1 \mathrm{~kg}, \theta=45^{\circ}, \mathrm{k}=100 \mathrm{~N} \mathrm{~m}^{-1}\) From figure, \(N=m g \cos \theta\) \(f=\mu \mathrm{N}=\mu \mathrm{mg} \cos \theta\) where \(\mu\) is the coefficient of friction between the block…
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