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NEET 2008
Exam
NEET
Year
2008
Subject
Physics
Chapter
Work, Power and Energy

NEET 2008 · Physics · Work, Power and Energy

A roller coaster is designed such that riders experience...

A roller coaster is designed such that riders experience "weightlessness" as they go round the top of a hill whose radius of curvature is 20 m20 \mathrm{~m}. The speed of the car at the top of the hill is betweenA roller coaster is designed such that riders experience "weightlessness" as they go round the top of a hill whoseA roller coaster is designed such that riders experience "weightlessness" as they go round the top of a hill whose

Options

  1. A13 m/s13 \mathrm{~m} / \mathrm{s} and 14 m/s14 \mathrm{~m} / \mathrm{s}
  2. B14 m/s14 \mathrm{~m} / \mathrm{s} and 15 m/s15 \mathrm{~m} / \mathrm{s}
  3. C15 ms/15 \mathrm{~ms} / and 16 m/s16 \mathrm{~m} / \mathrm{s}
  4. D16 m/s16 \mathrm{~m} / \mathrm{s} and 17 m/s17 \mathrm{~m} / \mathrm{s}

Correct answer

B. 14 m/s14 \mathrm{~m} / \mathrm{s} and 15 m/s15 \mathrm{~m} / \mathrm{s}

Step-by-step solution

A roller coaster is designed such that riders experience "weightlessness" as they go round the top of a hill whose
Actually, mg−N=mv2rm g-N=\frac{m v^2}{r} For weightlessness, N=0\quad N=0\thereforemg=mv2rv=gr=10×20 ms−1=14.14 ms−1\begin{aligned} \thereforem g & =\frac{m v^2}{r}\\ v & =\sqrt{g r}\\ & =\sqrt{10 \times 20} \mathrm{~ms}^{-1}=14.14 \mathrm{~ms}^{-1} \end{aligned}$$
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