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(B) Statement $1$ is true: In a perfectly inelastic collision,the particles stick together after the collision. While kinetic energy is lost (converte

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Statement $-1$ is true,Statement $-2$ is true.

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(B) Statement $1$ is true: In a perfectly inelastic collision,the particles stick together after the collision. While kinetic energy is lost (converted into heat,sound,or deformation energy),the total energy of the system remains conserved. Since the particles continue to move with a common velocity,the system retains some kinetic energy,so the total energy is not completely lost.Statement $2$ is true: The law of conservation of linear momentum is a fundamental principle derived from Newton's laws and is applicable to all types of collisions (elastic,inelastic,or perfectly inelastic) provided no external force acts on the system.Conclusion: Both statements are true,but Statement $2$ does not explain why the energy is not completely lost in Statement $1$.

Statement $1$: In a perfectly inelastic collision,the total energy of two particles moving in the same direction is not completely lost.
Statement $2$: The principle of conservation of momentum is valid for all types of collisions.

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Statement $1$: In a perfectly inelastic collision,the total energy of two particles moving in the same direction is not completely lost.Statement $2$: The principle of conservation of momentum is valid for all types of collisions.