First slide

Variation of g

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 :

Easy

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

Solution

$\begin{array}{ll} ∵ \frac{{mv}^{2}}{R} = mg \\ ∴ v = \sqrt{Rg} = \sqrt{20 \times 10} = \sqrt{200} m / s \end{array}$
= 14.14 m/s

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