Q82 / 105 · JEE Main 2008 · Physics

An athlete in the olympic games covers a distance of $100 \mathrm{~m}$ in $10 \mathrm{~s}$. His kinetic energy can be estimated to be in the range

  • A
    $200 \mathrm{~J}-500 \mathrm{~J}$
  • B
    $2 \times 10^5 \mathrm{~J}-3 \times 10^5 \mathrm{~J}$
  • C
    $20,000 \mathrm{~J}-50,000 \mathrm{~J}$
  • Correct answer
    D
    $2,000 \mathrm{~J}-5,000 \mathrm{~J}$

Solution

Approximate mass $=60 \mathrm{~kg}$ Approximate velocity $=10 \mathrm{~m} / \mathrm{s}$ Approximate $\mathrm{KE}=\frac{1}{2} \times 60 \times 100=3000 \mathrm{~J}$ $\mathrm{KE}$ range $\Rightarrow 2000$ to 5000 joule

Hence, the correct answer is option: 'D'.

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