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QAIPMT-2004-Ph-2647: NEET 2004 Physics - Class 11 AIPMT-2004-Ph-2647 Solution: A mass of 0.5 kg moving with a speed of 1.5 m/s on horizontal…

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

Multiple Choice Options

  • A 0.15 m
  • B 0.12 m
  • C 1.5 m
  • D 0.5 m

Step-by-Step Verified Solution

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 1 2 m v 2 = 1 2 k y 2 _ 1 2 ( 0.5 ) ( 1.5 ) = 1 2 ( 50 ) y 2 _ y = 0.15 m

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