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A block moving at 40 m/s splits into two parts and one part moves faster: fractional change in kinetic energy

The same question, asked 2 times: 2021 Paper 22*, 2021 Paper 23. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    2021 Paper 22

    27
    A block moving horizontally on a smooth surface with a speed of 40 ms−140{\text{ }ms}^{- 1} splits into two equal parts. If one of the parts moves at 60 ms−160{\text{ }ms}^{- 1} in the same direction, then the fractional change in the kinetic energy will be x:4x:4 where x=x =

  2. Question 2

    2021 Paper 23

    16
    A block moving horizontally on a smooth surface with a speed of 40 m/s40\text{ }m/s splits into two parts with masses in the ratio of 1:2. If the smaller part moves at 60 m/s60\text{ }m/s in the same direction, then the fractional change in kinetic energy is:

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