Answer:
Explanation:
The solution along with the diagram can be found in the attachment. Feel free to raise doubts.
Centripetal force is defined as the force that allows the object to follow a curvature path.
The velocity will be 19.80 m/s.
Given:
Normal Force = 1.2 x weight
Normal Force = 1.2 Mg
Mass = Mass of car + occupants
Centripetal Acceleration = [tex]\text a_c[/tex]
Now, applying the equilibrium equation:
[tex]\begin{aligned} \sum \text F&= \text m \times \text a_c\\\\\text F_n - \text{mg} &= m \times \text a_c\\\\1.2 \text{Mg} - \text{Mg} &= m \times \text a_c\\\\\text a_c &=0.2 \;\text g\\\end[/tex]
Now, substituting the value in the formula:
[tex]\begin {aligned} \text a_c &=\dfrac{\text v^2}{\text r}\\\\0.2 \text g &= \dfrac {\text v ^2}{\text r}\\\\\text v &= \sqrt{0.2 \times 9.8 \times 200}\\\\\text v &= 19.80 \;\text {m/s}\end[/tex]
Thus, the velocity will be 19.80 m/s.
To know more about centripetal acceleration, refer to the following link:
https://brainly.com/question/17689540
