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A man running has half the kinetic energ...

A man running has half the kinetic energy of a boy of half his mass. The man speeds up by `1 ms^(-1)` and then has KE as that of the boy. What was the original speed of man? 

A

`sqrt(2) ms^(-1)`

B

`(sqrt(2)-1) ms^(-1)`

C

`(sqrt(2) +1) ms^(-1)`

D

None of these

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • A man running has half the kinetic energy of a boy of half his mass. The man speeds up by 1 m/s and then has kinetic energy as that of the boy. What were the original speeds of man and the boy ?

    A
    `sqrt(2)m//s : 2sqrt(2) m//s`
    B
    `(sqrt(2) - 1) m//s : 2(sqrt(2)-1) m//s`
    C
    `(sqrt(2) + 1) m//s : 2(sqrt(2) +1) m//s`
    D
    `1/(sqrt2) m//s , sqrt(2)m//s`

  • A man who is running has half the kinetic energy of a boy of half his mass. The man speeds up by 1 ms^(-1) and then has the same kinetic energy as the boy. The original speed of the boy was:

    A
    `sqrt(2)ms^(-1)`
    B
    `2(sqrt(2)+1)ms^(-1)`
    C
    `2 ms^(-1)`
    D
    `sqrt(2)+1ms^(-1)`

  • A running man has half the kinetic energy of that of a boy of half of his mass. The man speeds up by 1m/s so as to have same K.E. as that of the boy. The original speed of the man will be

    A
    `sqrt2m//s`
    B
    `(sqrt2-1)m//s`
    C
    `(1)/((sqrt2-1))m//s`
    D
    `(1)/(sqrt2)m//s`

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