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What should be the maximum speed of the car that enters a frictionless bend with a radius of 120 m and an angle of inclination of 18 degrees so that the car can turn the corner safely?

A)
15.2 m/s

B)
20 m/s

C)
15.6 m/s

D)
17.3 m/s

E)
11.3 m/s

Expert Solution

Step 1

Given: Radius of the bend, $r = 120 m$

Angle of the inclination, $θ = 18 °$

To find: Maximum speed at the bend to turn safely

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What should be the maximum speed of the car that enters a frictionless bend with a radius of 120 m and an angle of inclination of 18 degrees so that the car can turn the corner safely? A) 15.2 m/s B) 20 m/s C) 15.6 m/s D) 17.3 m/s E) 11.3 m/s