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 m. The speed of the car at the top of the hill is between

Question

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 m. The speed of the car at the top of the hill is between (A) 16 m/s and 17 m/s (B) 13 m/s and 14 m/s (C) 14 m/s and 15 m/s (D) 15 m/s and 16 m/s

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/21ee3cf83c146806f638f039f51231fb-.jpeg" /> mg=(mv2/R)⇒ v=√ Rg v=√20×10=√200=14.1 m/s i.e.. Between 14 and 15 m/s.

Q. A roller coaster is designed such that riders experience ''weightlessness'' as they go round the top of a hill whose radius of curvature is $20 m$ . The speed of the car at the top of the hill is between

16 m/s and 17 m/s

13 m/s and 14 m/s

14 m/s and 15 m/s

15 m/s and 16 m/s

$m g = \frac{m v ^{2}}{R} \Rightarrow v = R g$
$v = 20 \times 10 = 200 = 14.1 m / s$
i.e.. Between $14$ and $15 m / s$ .

Q. A roller coaster is designed such that riders experience ''weightlessness'' as they go round the top of a hill whose radius of curvature is 20m. The speed of the car at the top of the hill is between