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an automobile of mass m is proceeding around a highway curve of 40-meter radius. the surface of the roadway is horizontal, and the coefficient of friction between the tires and the roadway is 0.50. the maximum speed with which the car can round the curve without slipping is...

Respuesta :

The maximum speed with which the car can round the curve without slipping is 14m/s

Given the following:

The radius, r=40m

The coefficient of friction μ=0.5

Then from Newton's law:

μmg=mv^2/r

From the above equation,  the speed, v of the car is:

v=√μrg, where μ=0.5, r=40m, and g=9.8m/s^2

v=√(0.5)(40m)(9.8m/s^2)

v=√196

v=14m/s

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