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Q.

A 1kg stationary bomb is exploded into three fragments having mass ratio 4 : 4 : 7. Parts having same mass move in perpendicular directions with velocity 70m/s. Then the velocity of the bigger part is

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a

$40 \sqrt{2} m / s$

b

$30 \sqrt{2} m / s$

c

$10 \sqrt{2} m / s$

d

$20 \sqrt{2} m / s$

answer is A.

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Detailed Solution

Question Image

When LCLM is applied

$(4 m) (70 i) + (4 m) (70 j) = (7 m) V$

$V = 40 \sqrt{2} m / s$

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A 1kg stationary bomb is exploded into three fragments having mass ratio 4 : 4 : 7. Parts having same mass move in perpendicular directions with velocity 70m/s. Then the velocity of the bigger part is