A block C of mass m is moving with velocity $$v0$$ and collides elastically with block A of mass m and connected to another block B of mass $$2m$$ through spring of spring constant k. What is the value of k, if $$x0$$ is compression of spring, when velocity of A and B is same? [JIPMER $$2017$$]

Question

Infinity Learn · Accepted Answer

Using the law of conservation of linear momentum, we have                  $$mv0=mv$$ $$+$$ $$2mv$$ ⇒ $$v=v0/3Using$$ law of conservation of energy, we have                     $$12mv02=12kx02+12(3m)v2where$$, $$x0$$ is compression in the spring.∴                 $$mv02=kx02+(3m)v029$$⇒                 $$kx02=mv02-mv023$$⇒$$kx02=2mv023$$∴                    $$k=2mv023x02$$

A block C of mass m is moving with velocity v₀ and collides elastically with block A of mass m and connected to another block B of mass 2m through spring of spring constant k. What is the value of k, if x₀ is compression of spring, when velocity of A and B is same? [JIPMER 2017]

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A block C of mass m is moving with velocity v0 and collides elastically with block A of mass m and connected to another block B of mass 2m through spring of spring constant k. What is the value of k, if x0 is compression of spring, when velocity of A and B is same? [JIPMER 2017]

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A block C of mass m is moving with velocity v₀ and collides elastically with block A of mass m and connected to another block B of mass 2m through spring of spring constant k. What is the value of k, if x₀ is compression of spring, when velocity of A and B is same? [JIPMER 2017]