Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Laws of Motion

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 :

Options:

13 m/s and 14 m/s

14 m/s and 15 m/s

15 m/s and 16 m/s

16 m/s and 17 m/s

Correct Answer:

14 m/s and 15 m/s

Explanation:

mg - N = \(\frac{mv^2}{r}\)

For weightlessness, N = 0

mg = \(\frac{mv^2}{r}\)

v = \(\sqrt{gr}\) = 14.140m/s