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Recoil of a gun or artillery piece firing a shell

This type of question, asked 2 times: 2021 Paper 13, 31 Jan 2024. All 2 questions below, oldest first.

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  1. Question 1

    2021 Paper 13

    20
    A bullet of mass 4gm4gm is shot from a gun of mass 4 kg4\text{ }kg. Bullet has speed 50 ms−150{\text{ }ms}^{- 1}. Find the impulse of bullet and velocity of recoil of gun?

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  2. Question 2

    31 Jan 2024

    19
    An artillery piece of mass M1M_{1} fires a shell of mass M2M_{2} horizontally. Instantaneously after the firing, the ratio of kinetic energy of the artillery and that of the shell is :

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