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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.

Similar Questions

$A$ body of mass $m$ moving with a constant velocity $v$ hits another body of the same mass that is at rest. If the two bodies stick together after the collision,the velocity of the compound body is:

$A$ body of mass $4\, kg$ moving with velocity $12\, m/s$ collides with another body of mass $6\, kg$ at rest. If two bodies stick together after collision,then the loss of kinetic energy of the system is .............. $J$.

Find the correct option based on the two statements given below.
Statement-$1$ : Two particles moving in the same direction do not lose all their energy in a perfectly inelastic collision.
Statement-$2$ : The law of conservation of linear momentum is obeyed for all types of collisions.

$A$ body of mass $m$ moving with velocity $v$ makes a head-on perfectly inelastic collision with another body of mass $2m$ which is initially at rest. What is the percentage loss in the kinetic energy?

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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.