(A) For a head-on elastic collision between two bodies of equal masses $(m_1 = m_2 = m)$,the bodies simply exchange their velocities.Let the initial v

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(A) For a head-on elastic collision between two bodies of equal masses $(m_1 = m_2 = m)$,the bodies simply exchange their velocities.Let the initial velocities be $u_1$ and $u_2$,and the final velocities be $v_1$ and $v_2$.According to the conservation of momentum: $m u_1 + m u_2 = m v_1 + m v_2$,which simplifies to $u_1 + u_2 = v_1 + v_2$.According to the property of elastic collision for equal masses: $v_1 = u_2$ and $v_2 = u_1$.Given the final velocities are $v_1 = +3\,m/s$ and $v_2 = -2\,m/s$.Therefore,the initial velocities must be $u_1 = v_2 = -2\,m/s$ and $u_2 = v_1 = +3\,m/s$.

Class 11 Physics Work, Energy and Power Elastic Collision

Medium

After a head-on elastic collision between two balls of equal masses,one is observed to have a speed of $3\,m/s$ along the positive $x$-axis and the other has a speed of $2\,m/s$ along the negative $x$-axis. What were the original velocities of the balls?

A
$-2\,m/s$ and $+3\,m/s$
B
$+2\,m/s$ and $+3\,m/s$
C
$-3\,m/s$ and $+2\,m/s$
D
$+3\,m/s$ and $-2\,m/s$

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Work, Energy and Power

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Elastic Collision

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After a head-on elastic collision between two balls of equal masses,one is observed to have a speed of $3\,m/s$ along the positive $x$-axis and the other has a speed of $2\,m/s$ along the negative $x$-axis. What were the original velocities of the balls?

Similar Questions

The bob $A$ of a pendulum released from $30^o$ to the vertical hits another bob $B$ of the same mass at rest on a table as shown in Figure. How high does the bob $A$ rise after the collision? Neglect the size of the bobs and assume the collision to be elastic.

$A$ sphere of mass $M$ moving with velocity $u$ undergoes a perfectly elastic head-on collision with another sphere of mass $m$ at rest. After the collision,their velocities are $V$ and $v$ respectively. Find the value of $v$.

$A$ body of mass $m$ moving with velocity $v$ makes a head-on collision with another body of mass $2m$ which is initially at rest. What is the ratio of the kinetic energy of the colliding body before and after the collision (in $: 1$)?

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