When a car of mass 1200 kg, going with speed 30 m/s, rounds an unbanked curve of radius 150 m, what is the minimum coefficient of static friction LaTeX: \left(\mu_s\right)( μ s ) needed to ensure that it does no skid?

Explanation:

In order for the car does not slip, the frictional force must be equal to the centripetal force due to the circular motion. According to the free body diagram:

The frictional force is given by:

The centripetal force is defined as:

Here v is the linear speed and r is the radius of the circular motion. Replacing this equations:

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the minimum amperage that the current in this wire would have to have so that its weight is completely supported by the magnetic force due to earth's field, assuming that no other forces except gravity act on it