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Block of mass m is pushed towards a hor...

Block of mass m is pushed towards a horizontal spring as shown in figure , with initial speed u .

Spring constant of the spring is K and floor is smooth . Calculate maximum possible compression of the spring .

Text Solution

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Block will come to rest when compression of spring becomes maximu . Let x be the amount of compression . Given system is purely conservative hence total mechanical energy remains constant . We can say that loss in kinetic energy is equal to gain in potential energy of the spring .
` 1/2"mu"^(2) = 1/2 Kx^(2)`
` rArr " " x = u sqrt(m/K)`
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