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JEE Mains · Physics · STD 11 - 5. work,energy,power and collision

A block is simply released from the top of an inclined plane as shown in the figure above. The maximum compression in the spring when the block hits the spring is _______.

  1. A \(\sqrt{6} \mathrm{~m}\)
  2. B \(2 \mathrm{~m}\)
  3. C \(1 \mathrm{~m}\)
  4. D \(\sqrt{5} \mathrm{~m}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(2 \mathrm{~m}\)

Step-by-step Solution

Detailed explanation

\(\mathrm{w}_{\mathrm{g}}+\mathrm{w}_{\mathrm{FT}}+\mathrm{w}_{\mathrm{s}}=\Delta \mathrm{KE}\) \(5 \times 10 \times 5-0.5 \times 5 \times 10 \times \mathrm{x}-\frac{1}{2} \mathrm{Kx}^2=0-0\) \(250=25 \mathrm{x}+50 \mathrm{x}^2\) \(2 \mathrm{x}^2+\mathrm{x}-10=0\)…
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