A body of mass 14 kg initially at rest explodes and breaks into three fragments of masses in the ratio 2 : 2 : 3. The two pieces of equal masses fly off perpendicular to each other with a speed of 18 m/s each. The velocity of the heavier fragment is ____

Question

A body of mass 14 kg initially at rest explodes and breaks into three fragments of masses in the ratio 2 : 2 : 3. The two pieces of equal masses fly off perpendicular to each other with a speed of 18 m/s each. The velocity of the heavier fragment is ____ m/s. [2026]

Smart Achievers · Accepted Answer

(3)

$Apply C.O.M$

$M_{1} V_{1} + M_{2} V_{2} + M_{3} V_{3} = 0$

$2 (- 18 i) + 2 (- 18 j) + 3 V_{3} = 0$

$V_{3} = 12 i + 12 j$

$| V_{3} |$ $= 12 \sqrt{2} m/s$

Solution

Q.
A body of mass 14 kg initially at rest explodes and breaks into three fragments of masses in the ratio 2 : 2 : 3. The two pieces of equal masses fly off perpendicular to each other with a speed of 18 m/s each. The velocity of the heavier fragment is ____ m/s. [2026]

1 12

2 $10 \sqrt{2}$

3 $12 \sqrt{2}$

4 $24 \sqrt{2}$

Ans.
(3)

$Apply C.O.M$

$M_{1} V_{1} + M_{2} V_{2} + M_{3} V_{3} = 0$

$2 (- 18 i) + 2 (- 18 j) + 3 V_{3} = 0$

$V_{3} = 12 i + 12 j$

$| V_{3} |$ $= 12 \sqrt{2} m/s$

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Solution

Q. A body of mass 14 kg initially at rest explodes and breaks into three fragments of masses in the ratio 2 : 2 : 3. The two pieces of equal masses fly off perpendicular to each other with a speed of 18 m/s each. The velocity of the heavier fragment is ____ m/s. [2026]

1 12

2 102

3 122

4 242