Statement-1: In an elastic collision between | vedclass

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(B) In an elastic collision,both linear momentum and kinetic energy are conserved.For a one-dimensional elastic collision between two bodies of masses

Vedclass · Accepted Answer

Statement-$1$ is true. Statement-$2$ is true. Statement-$2$ is not the correct explanation for Statement-$1$.

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(B) In an elastic collision,both linear momentum and kinetic energy are conserved.For a one-dimensional elastic collision between two bodies of masses $m_1$ and $m_2$ with initial velocities $u_1$ and $u_2$,and final velocities $v_1$ and $v_2$:Conservation of momentum: $m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2$Conservation of kinetic energy: $\frac{1}{2} m_1 u_1^2 + \frac{1}{2} m_2 u_2^2 = \frac{1}{2} m_1 v_1^2 + \frac{1}{2} m_2 v_2^2$Rearranging these equations leads to the result: $u_1 - u_2 = v_2 - v_1$,which means the relative speed of approach equals the relative speed of separation.Statement-$1$ is a direct consequence of the conservation of kinetic energy,not the conservation of linear momentum.Therefore,both statements are true,but Statement-$2$ is not the correct explanation for Statement-$1$.

Statement-$1$: In an elastic collision between two bodies,the relative speed of the bodies after the collision is equal to the relative speed of the bodies before the collision.
Statement-$2$: In an elastic collision,the linear momentum of the system is conserved.

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Statement-$1$: In an elastic collision between two bodies,the relative speed of the bodies after the collision is equal to the relative speed of the bodies before the collision.Statement-$2$: In an elastic collision,the linear momentum of the system is conserved.