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AP EAMCET · PHYSICS · Laws of Motion

A body of mass \(0.15 \mathrm{~kg}\) moving with a velocity of \(15 \mathrm{~ms}^{-1}\) comes to rest, when it hits a spring that is fixed at another end. If the force constant of the spring is \(1500 \mathrm{Nm}^{-1}\), then the compression in the spring is

  1. A \(0.15 \mathrm{~m}\)
  2. B \(0.1 \mathrm{~m}\)
  3. C \(0.2 \mathrm{~m}\)
  4. D \(0.5 \mathrm{~m}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(0.15 \mathrm{~m}\)

Step-by-step Solution

Detailed explanation

Given, mass of the body, \(m=0.15 \mathrm{~kg}\) Velocity of the body, \(v=15 \mathrm{~ms}^{-1}\) Spring constant, \(k=1500 \mathrm{Nm}^{-1}\) According to law of conservation of energy, the change in kinetic energy is equal to the change in potential energy, i.e.…
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