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A man who is running has half the kineti...

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)`

Text Solution

Verified by Experts

The correct Answer is:
B
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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 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

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

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