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Q.

A vessel at rest explodes breaking it into three pieces. Two pieces having equal mass fly off perpendicular to one another with the same speed of 30 m/s. The third piece has three times the mass of each of the other two pieces. What is the direction (w.r.t. the pieces having equal masses) and magnitude of its velocity immediately after the explosion?

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a

102, 135°

b

102, 90°      

c

102, 60°

d

102, 30°

answer is A.

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Detailed Solution

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According to Fig.  3 mv cos q = mu, 3 mv sin q = mu , tan q = 1 or q = 45° 

Hence, 3 mv cos 45° = mu⇒v = 102 m/s (inclined at 135° w.r.t. direction of each one)

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