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A body of mass 5 kg explodes at rest into three fragments with masses in the ratio 1 : 1 : 3. The fragments with equal masses fly in mutually perpendicular directions with speeds of 21 m/s. The velocity of the heaviest fragment will be -
A. 11.5 m/s
B. 14.0 m/s
C. 7.0 m/s
D. 9.89 m/s

1 Answer

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Correct Answer - D
image
`Px=mv_(x)=21 "kg " m//s`
`P_(y)=mv_(y)=21"kg "m//s`
`"Resultant"=sqrt(P_(x)^(2)+P_(y)^(2))=21sqrt2" kg "m//s`
`Rightarrowv=7sqrt2="9.89 "m//s`

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