What change should be expected in the velocity of a body to maintain the same kinetic energy, if its mass is increased sixteen times? H

Question

What change should be expected in the velocity of a body to maintain the same
kinetic energy, if its mass is increased sixteen times? How?​

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Philomena 4 years 2021-08-02T05:33:36+00:00 1 Answers 38 views 0

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  1. RobertKer
    0
    2021-08-02T05:34:45+00:00
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    Answer:

    firstly,

    ke=1÷2mv^2

    on putting same ke by increasing mass by 16 times new velocity becomes v’

    then

    ke=1÷2×16m×v’^2

    from above we can write

    1÷2mv^2=1÷2×16m×v’^2

    v^2=16v’^2

    1÷4v=v’

    hence original velocity should be decreased by 4 times to keep same ke

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