A crate is being transported in the horizontal bed of a pick-up truck. (a) When the truck reaches a speed of 31.0 m/s as it is taking a turn on a horizontally flat part of the highway which has a radius 250 m, the crate starts sliding sideways. Calculate the coefficient of static friction between the crate and the truck bed.

Explanation:

Let assume that road has no inclination. The pick-up truck experiments a centripetal force as net force, whereas the crate has a centrifugal one by the Newton's 3rd Law. The crate starts moving when . The crate is modelled by the following equations of equilibrium:

After some handling, the coefficient of static friction is determined:

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explanation:

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