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NEET 2004
Exam
NEET
Year
2004
Subject
Physics
Chapter
Work, Power and Energy

NEET 2004 · Physics · Work, Power and Energy

A mass of 0.5 ~kg moving with a speed of 1.5 ~m / s on a horizontal...

A mass of 0.5 kg0.5 \mathrm{~kg} moving with a speed of 1.5 m/s1.5 \mathrm{~m} / \mathrm{s} on a horizontal smooth surface, collides with a nearly weightless spring of force constant k=50 N/mk=50 \mathrm{~N} / \mathrm{m}. The maximum compression of the spring would be: A mass of 0.5 ~kg moving with a speed of 1.5 ~m / s on a horizontal smooth surface, collides with a nearly weightless

Options

  1. A0.15 m0.15 \mathrm{~m}
  2. B0.12 m0.12 \mathrm{~m}
  3. C1.5 m1.5 \mathrm{~m}
  4. D0.5 m0.5 \mathrm{~m}

Correct answer

A. 0.15 m0.15 \mathrm{~m}

Step-by-step solution

According to the question 12mv2=12kx2⇒x=vmk=1.50.550=0.15m\begin{aligned}\frac{1}{2} m v² & =\frac{1}{2} k x² \\ \Rightarrow \quad x & =v \sqrt{\frac{m}{k}}=1.5 \sqrt{\frac{0.5}{50}}\\ & =0.15 \mathrm{ m} \end{aligned}
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