Answer:
[tex]10 m/s^2[/tex]
Explanation:
The radial acceleration (also called centripetal acceleration) of an object in circular motion is given by
[tex]a=\frac{v^2}{r}[/tex]
where
v is the speed of the object
r is the radius of the circular path
For the car in this problem,
v = 50 m/s
we know that the diameter of the track is d = 500 m, so the radius is
[tex]r=\frac{d}{2}=250 m[/tex]
And so, the radial acceleration is
[tex]a=\frac{50^2}{250}=10 m/s^2[/tex]
