Answer:
The radius of the curve that Car 2 travels on is 380 meters.
Explanation:
Speed of car 1, [tex]v_1=65\ km/h[/tex]
Radius of the circular arc, [tex]r_1=95\ m[/tex]
Car 2 has twice the speed of Car 1, [tex]v_2=130\ km/h[/tex]
We need to find the radius of the curve that Car 2 travels on have to be in order for both cars to have the same centripetal acceleration. We know that the centripetal acceleration is given by :
[tex]a=\dfrac{v^2}{r}[/tex]
According to given condition,
[tex]\dfrac{v_1^2}{r_1}=\dfrac{v_2^2}{r_2}[/tex]
[tex]\dfrac{65^2}{95}=\dfrac{130^2}{r_2}[/tex]
On solving we get :
[tex]r_2=380\ m[/tex]
So, the radius of the curve that Car 2 travels on is 380 meters. Hence, this is the required solution.
