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A body at rest explodes into three pieces, two equal ones flying off at right angles: velocity of the third

The same question, asked 2 times: 29 Jun 2022*, 23 Jan 2026 S2. Every wording below, oldest first.

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  1. Question 1

    29 Jun 2022

    2
    A body of mass MM at rest explodes into three pieces, in the ratio of masses 1:1:21:1:2. Two smaller pieces fly off perpendicular to each other with velocities of 30 ms−130{\text{ }ms}^{- 1} and 40 ms−140{\text{ }ms}^{- 1} respectively. The velocity of the third piece will be:

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  2. Question 2

    23 Jan 2026 S2

    2
    A body of mass 14 kg initially at rest explodes and breaks into three fragments of masses in the ratio 2:2:32:2:3. The two pieces of equal masses fly off perpendicular to each other with a speed of 18 m/s18\text{ }m/s each. The velocity of the heavier fragment is ____\_\_\_\_ m/sm/s.

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