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Q.

Two balls are rolling on a flat smooth table. One ball has velocity components 3j^and i^ while the other has components 2i^ and 2j^ .If both start moving simultaneously from the same point, find the angle between their paths in degrees.

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answer is 15.

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Detailed Solution

Velocity of one ball v→1=i^+3j^Velocity of second ball v→2=2i^+2j^Angle between their paths:cos⁡θ=v→1⋅v→2v1v2=2+23(2)(22)=1+322⇒θ=15∘
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