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A mass m moves with a speed v on a horiz...

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.

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When the mass 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 distance of compression of spring, then the law of conservation of energy
`(1)/(2)mv^(2)=(1)/(2)kx^(2)impliesx=vsqrt((m)/(k))`
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