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Body at rest splits into two parts: ratio of their speeds or kinetic energies

This type of question, asked 2 times: 8 Apr 2024, 9 Apr 2024. All 2 questions below, oldest first.

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  1. Question 1

    8 Apr 2024

    18
    A stationary particle breaks into two parts of masses mAm_{A} and mBm_{B} which move with velocities vAv_{A} and vBv_{B} respectively. The ratio of their kinetic energies (KB:KA)\left( K_{B}:K_{A} \right) is :

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  2. Question 2

    9 Apr 2024

    91
    A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of 2:12:1. After disintegration they will move: -

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