(C) For a one-dimensional elastic collision where the second body is initially at rest,the fraction of kinetic energy retained by the first body (mass

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(C) For a one-dimensional elastic collision where the second body is initially at rest,the fraction of kinetic energy retained by the first body (mass $m_1$) after the collision is given by the formula: $f = \left( \frac{m_1 - m_2}{m_1 + m_2} \right)^2$ Given $m_1 = 8 \ kg$ and $m_2 = 2 \ kg$. Substituting the values: $f = \left( \frac{8 - 2}{8 + 2} \right)^2 = \left( \frac{6}{10} \right)^2 = (0.6)^2 = 0.36$. Therefore,the remaining kinetic energy is $0.36 E$.

Class 11 Physics Work, Energy, Power and Collision Elastic Collision

Medium

$A$ body of mass $8 \ kg$ moving with a certain velocity collides elastically with another body of mass $2 \ kg$ at rest. If $E$ is the initial kinetic energy of the moving mass,what will be the remaining kinetic energy of the moving mass after the collision (in $E$)?

A
$0.80$
B
$0.64$
C
$0.36$
D
$0.08$

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Work, Energy, Power and Collision

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Elastic Collision

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$A$ body of mass $8 \ kg$ moving with a certain velocity collides elastically with another body of mass $2 \ kg$ at rest. If $E$ is the initial kinetic energy of the moving mass,what will be the remaining kinetic energy of the moving mass after the collision (in $E$)?

Similar Questions

$A$ body of mass $m$ is at rest. Another body of the same mass moving with velocity $V$ makes a head-on elastic collision with the first body. After the collision,the first body starts to move with velocity:

Six identical balls are lined up in a straight groove on a horizontal frictionless surface. Two similar balls,each moving with a velocity $v$,collide elastically with the row of $6$ balls from the left. What will happen?

$A$ ball of mass $0.1 \ kg$ undergoes a head-on collision with a stationary ball of unknown mass. If the $0.1 \ kg$ ball rebounds with $1/3$ of its original speed,the mass of the second ball is .......... $kg$.

$Assertion$: $n$ small balls each of mass $m$ collide elastically each second on a surface with velocity $u$. The force experienced by the surface is $2mnu$.$Reason$: On elastic collision,the ball rebounds with the same velocity.

$A$ neutron moving with velocity $u$ collides elastically with a stationary atom of mass number $A$. If the collision is head-on and the initial kinetic energy of the neutron is $E$, then the final kinetic energy of the neutron after the collision is:

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$Assertion$: $n$ small balls each of mass $m$ collide elastically each second on a surface with velocity $u$. The force experienced by the surface is $2mnu$.
$Reason$: On elastic collision,the ball rebounds with the same velocity.