A ball A collides elastically with another id | vedclass

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(B) In an elastic collision between two identical masses where one is initially at rest,the velocity component along the line of impact is exchanged.L

Vedclass · Accepted Answer

Velocity of ball $B$ after collision is $5 \, m/s$.

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(B) In an elastic collision between two identical masses where one is initially at rest,the velocity component along the line of impact is exchanged.Let the line joining the centers be the $x$-axis.The initial velocity of ball $A$ is $v = 10 \, m/s$ at an angle $	heta = 60^o$ with the $x$-axis.The component of velocity of $A$ along the line of impact is $v_x = v \cos(60^o) = 10 	imes 0.5 = 5 \, m/s$.The component of velocity of $A$ perpendicular to the line of impact is $v_y = v \sin(60^o) = 10 	imes 0.866 = 8.66 \, m/s$.During the elastic collision,the velocity component along the line of impact is transferred from $A$ to $B$.Thus,after collision,the velocity of $B$ along the line of impact is $v_{Bx} = 5 \, m/s$ and $v_{By} = 0$.Therefore,the velocity of ball $B$ after collision is $5 \, m/s$.

$A$ ball $A$ collides elastically with another identical ball $B$ initially at rest. Ball $A$ is moving with a velocity of $10 \, m/s$ at an angle of $60^o$ from the line joining their centers. Select the correct alternative:

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