A car of mass $m=2610 \mathrm{~kg}$ drives on a horizontal, circular racetrack. The racetrack has a radius of $r=154.4 \mathrm{~m}$. The coefficient of static friction between the car's tires and the racetrack is $\mu=0.586$. (The input below will accept answers with no more than $1 \%$ variation from the correct value.) The car travels at a constant speed $|\vec{v}|=18.9 \frac{\mathrm{m}}{\mathrm{s}}$. What is the magnitude of the friction force on the car? \[ \left|\vec{F}_{f}\right|= \] $\mathrm{N}$ The car travels at $|\vec{v}|=18.9 \frac{\mathrm{m}}{\mathrm{s}}$. What is the maximum possible rate of change of the car's speed? Note that a component of the friction force along the direction of motion would produce a change in speed? $\frac{\mathrm{m}}{\mathrm{s}^{2}}$

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