Respuesta :

The minimum speed at which a car can leave the road at the top is 10.84 m/s.

The minimum speed

The minimum speed at which the car can leave the road is calculated as follows;

[tex]F_c = F_n\\\\\frac{mv^2}{r} = mg\\\\\frac{v^2}{r} = g\\\\v^2 = rg\\\\v = \sqrt{rg} \\\\[/tex]

where;

  • r is the radius of the curved road = 12 m
  • g is acceleration due to gravity = 9.8 m/s².

[tex]v = \sqrt{12 \times 9.8} \\\\v = 10.84 \ m/s[/tex]

Thus, the minimum speed at which a car can leave the road at the top is 10.84 m/s.

Learn more about minimum speed on curved roads here: https://brainly.com/question/13102465