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Q.

A 500kg boat has an initial speed of  10ms−1 as it passes under a bridge. At that instant a 50 kg man jumps straight down into the boat from the bridge. The speed of the boat after the man and boat attain a common speed is

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a

10011ms−1

b

1011ms−1

c

5011ms−1

d

511ms−1

answer is A.

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Detailed Solution

V1=MVM+m=500×10500+50=500×10550=10011ms−1
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A 500kg boat has an initial speed of  10ms−1 as it passes under a bridge. At that instant a 50 kg man jumps straight down into the boat from the bridge. The speed of the boat after the man and boat attain a common speed is