All Problems

The Fundamental Equation of Dynamics

Problem 1.90

A car moves with a constant tangential acceleration \(w_{\tau}\) \(=0.62 \mathrm{~m} / \mathrm{s}^{2}\) along a horizontal surface circumscribing a circle of radius \(R=40 \mathrm{~m} .\) The coefficient of sliding friction between the wheels of the car and the surface is \(k=0.20 .\) What distance will the car ride without sliding if at the initial moment of time its velocity is equal to zero?

Reveal Answer
s=1/2RV1(kg/wr)21=60 ms=1 / 2 R V^{\frac{1}{\left(k g / w_{\mathfrak{r}}\right)^{2}-1}}=60 \mathrm{~m}