The speed of the car is 18.8 m/s
Explanation:
The variables that represent the givens are:
m = 2000 kg (mass of the car)
r = 30 m (radius of the curve)
t = 10 s (time elapsed to cover the curve)
The unknown is the speed of the car, which is given by:
[tex]v=\frac{d}{t}[/tex]
where d is the distance covered by the car during the time t.
Here the car covers a circular trajectory of radius r, so the distance covered is
[tex]d=2\pi r=2\pi(30)=188m[/tex]
Therefore, the speed of the car is
[tex]v=\frac{188}{10}=18.8 m/s[/tex]
Learn more about circular motion:
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