(A) Let the mass of both bodies $A$ and $B$ be $m$.Before the collision,body $A$ has velocity $v_1$ and body $B$ is at rest $(v_B = 0)$.After the coll

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(A) Let the mass of both bodies $A$ and $B$ be $m$.Before the collision,body $A$ has velocity $v_1$ and body $B$ is at rest $(v_B = 0)$.After the collision,since it is a completely inelastic collision,both bodies stick together and move with a common velocity $v_2$.According to the law of conservation of linear momentum:Initial momentum = Final momentum$m v_1 + m(0) = (m + m) v_2$$m v_1 = 2m v_2$Dividing both sides by $m v_2$,we get:$\frac{v_1}{v_2} = \frac{2}{1}$Therefore,the ratio $v_1: v_2$ is $2: 1$.

Class 11 Physics Work, Energy, Power and Collision Perfectly Inelastic Collision

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Two bodies $A$ and $B$ of same mass undergo a completely inelastic one-dimensional collision. The body $A$ moves with velocity $v_1$ while body $B$ is at rest before the collision. The velocity of the system after the collision is $v_2$. The ratio $v_1: v_2$ is

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A
$2: 1$
B
$4: 1$
C
$1: 4$
D
$1: 2$

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Work, Energy, Power and Collision

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Perfectly Inelastic Collision

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Two bodies $A$ and $B$ of same mass undergo a completely inelastic one-dimensional collision. The body $A$ moves with velocity $v_1$ while body $B$ is at rest before the collision. The velocity of the system after the collision is $v_2$. The ratio $v_1: v_2$ is

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$A$ body of mass $20 \ kg$ moving with a speed of $10 \ m/s$ collides with a stationary body of mass $5 \ kg$. After the collision,both bodies stick together. The combined kinetic energy of the system will be $...... \ J$.

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