Two blocks A and B each of mass m are connected by a mass less spring of natural length I and spring constant k. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length as shown in fig. (7). A third identical block C, also of mass

m, moving on the floor with a speed v along the line joining A and 8, and collides with A. Then

Question

Two blocks A and B each of mass m are connected by a mass less spring of natural length I and spring constant k. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length as shown in fig. (7). A third identical block C, also of mass

m, moving on the floor with a speed v along the line joining A and 8, and collides with A. Then

Infinity Learn · Accepted Answer

Let the velocity acquired by,$$4$$ and B be v'then  $$mv=mv$$′$$=mv$$′  or  v′$$=v/2$$ And  $$12mv2=12mv$$′$$2+12mv$$′$$2+12kx2$$ where x $$=$$ displacement of the block $$mv2=mv22+mv22+kx2$$ or $$mv22=kx2$$  or  $$x=vm2k1/2$$ At maximum compression, the kinetic energy of AB system will be $$12mv$$′$$2+12mv$$′$$2=mv$$′$$2=mv22=mv24$$

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