The centripetal force exerted on the automobile while rounding the curve is [tex]1.31\times10^4 N[/tex]
Explanation:
given that
[tex]Mass\ of\ the\ automobile\ m =1.46\times 10^3 kg\\radius\ of\ the\ curve\ r =25 m\\velocity\ of\ the\ automobile\ v=15m/s\\[/tex]
Objects moving around a circular track will experience centripetal force towards the center of the circular track.
[tex]centripetal\ force=mv^2/r\\=1.46\times10^3\times15^2/25\\=1.46\times 10^3\times 225/15\\=1.31\times 10^4 N[/tex]