Two banked curves have the same radius. Curve A is banked at 11.4 °, and curve B is banked at an angle of 16.5 °. A car can travelaround curve A without relying on friction at a speed of 19.2 m/s. At what speed can this car travel around curve B without relying onfriction?Number iUnits

Answered: Two banked curves have the same radius.…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter6: Applications Of Newton’s Laws Of Motion

Section: Chapter Questions

Problem 46PQ

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Two banked curves have the same radius. Curve A is banked at 11.4 °, and curve B is banked at an angle of 16.5 °. A car can travel
around curve A without relying on friction at a speed of 19.2 m/s. At what speed can this car travel around curve B without relying on
friction?
Number i
Units

Expert Solution

Step 1

The maximum speed at which a car can travel around a banked curve without relying on friction depends on the angle of the bank, the radius of the curve, and the force of gravity.

The formula for the maximum speed is given by:

v_max = √(rg tanθ)

where v_max is the maximum speed, r is the radius of the curve, g is the acceleration due to gravity (9.8 m/s^2), and θ is the angle of the bank.

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