Back to 6.4 Drag Force and Terminal Speed

6.4 Exercise 59

Avg difficulty 2.5

A car of mass 1000.0 kg is traveling along a level road at 100.0 km/h when its brakes are applied. Calculate the stopping distance if the coefficient of kinetic friction of the tires is 0.500. Neglect air resistance. (Hint: since the distance traveled is of interest rather than the time, x is the desired independent variable and not t. Use the Chain Rule to change the variable: dvdt=dvdxdxdt=vdvdx.)\frac{d v}{d t} = \frac{d v}{d x} \frac{d x}{d t} = v \frac{d v}{d x} . \left.\right)

OpenStax University Physics Volume 1, 6.4 Drag Force and Terminal Speed, exercise 59

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Adapted from University Physics Volume 1 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 1. Imported at revision db44eb9.