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Q.

Two spheres A and B moving in opposite directions have velocities of 10ms^-1 and 20ms^-1. The two spheres collide with each other elastically. If A continues to move in the same direction at 4 ms^-1, the velocity of sphere B just after the collision is

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a

34 m/s in the same direction of A

b

34 m/s in the opposite direction of A

c

26 m/s in the same direction of A

d

26 m/s in the opposite direction of A

answer is A.

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Detailed Solution

$v_{2} - v_{1} = u_{1} - u_{2}$
$v_{2} - 4 = 10 + 20 \Rightarrow v_{2} = 34 m / s$

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Two spheres A and B moving in opposite directions have velocities of 10ms-1 and 20ms-1. The two spheres collide with each other elastically. If A continues to move in the same direction at 4 ms-1, the velocity of sphere B just after the collision is