A mass m moves with a speed v on a horizontal smooth surface and collides with a nearly massless spring whose spring constant is k. If the mass stops after collision, compute the maximum compression of the spring.

A mass m moves with a speed v on a horizontal smooth surface and colli

1.	A mass m moves with a speed v on a horizontal smooth surface and collides with a nearly massless spring whose spring constant is k. If the mass stops after collision, compute the maximum compression of the spring.
Answer» <html><body><p></p>Solution :When the <a href="https://interviewquestions.tuteehub.com/tag/mass-1088425" style="font-weight:bold;" target="_blank" title="Click to know more about MASS">MASS</a> collides with the spring, from the law of conservation of energy ..the loss in kinetic energy of mass is gain in elastic potential energy by spring... Let x be the <a href="https://interviewquestions.tuteehub.com/tag/distance-116" style="font-weight:bold;" target="_blank" title="Click to know more about DISTANCE">DISTANCE</a> of <a href="https://interviewquestions.tuteehub.com/tag/compression-20610" style="font-weight:bold;" target="_blank" title="Click to know more about COMPRESSION">COMPRESSION</a> of spring, then the law of conservation of energy <br/> `(1)/(2)mv^(2)=(1)/(2)<a href="https://interviewquestions.tuteehub.com/tag/kx-1064991" style="font-weight:bold;" target="_blank" title="Click to know more about KX">KX</a>^(2)impliesx=vsqrt((m)/(k))`</body></html>