Q.

On a frictionless surface, a block of mass M moving at speed ν collides elastically with another block of same mass M which is initially at rest. After collision the first block moves at an angle θ to its initial direction and has a speed ν3. The second block's speed after the collision is

Moderate

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32v

223v

34v

answer is 3.

(Detailed Solution Below)

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Detailed Solution

The situation is shown in the figure. Let ν' be speed of second block after the collision. As the collision is elastic, so kinetic energy is conserved. According to conservation of kinetic energy,12Mv2+0=12Mv32+12Mv'2v2=v29+v'2 or v'2=v2-v29=9v2-v29=89v2v'=89v2=83v=223v

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