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A curve of radius 53.1 m is banked so that a car of mass 2.9 Mg traveling with uniform speed 67 km/hr can round the curve without relying on friction to keep it from slipping on the surface.

Respuesta :

Answer:

33.65°

Explanation:

radius, r = 53.1 m

m = 2.9 Mg = 2.9 x 10^6 g = 2900 kg

v = 67 km/h

convert km/h into m/s

v = 18.61 m/s

Let the angle of banking of road is θ, without friction

[tex]tan\theta =\frac{v^{2}}{rg}[/tex]

[tex]tan\theta =\frac{18.61^{2}}{53.1\times 9.8}[/tex]

tan  θ = 0.6655

θ = 33.65°

Thus, the angle of banking of road is 33.65°.

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