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Work Energy and Power question

2004 · Q146
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Work Energy and Power question

2004 · Q146

NEETPhysicsWork Energy and PowerMCQ+4 / −1
A mass of 0.5 kg moving with a speed of 1.5 m/s on horizontal smooth surface, collides with a nearly weightless spring of force constant k = 50 N/m. The maximum compression of the spring would be

AIPMT 2004 Physics - Work, Energy and Power Question 21 English
  1. A
    0.15 m
  2. B
    0.12 m
  3. C
    1.5 m
  4. D
    0.5 m
View written solutionFree

Correct answer: A

It is observed that if mass colloids with spring in such case, spring will be compressed, so kinetic energy of mass will be equal to that of springs potential energy.

Further, if y is the compression, then

12mv2=12ky2{1 \over 2}m{v^2} = {1 \over 2}k{y^2}21​mv2=21​ky2

⇒12(0.5)(1.5)=12(50)y2 \Rightarrow {1 \over 2}\left( {0.5} \right)\left( {1.5} \right) = {1 \over 2}\left( {50} \right){y^2}⇒21​(0.5)(1.5)=21​(50)y2

∴\therefore∴ y = 0.15 m

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