Newton's second law:

$\overline{){\mathbf{F}}{\mathbf{=}}{\mathbf{m}}{\mathbf{a}}}$

Centripetal force:

$\overline{){{\mathbf{F}}}_{{\mathbf{C}}}{\mathbf{=}}\frac{{\mathbf{mv}}^{\mathbf{2}}}{\mathbf{r}}}$

Newton's second law implies that the net force is equal to the centripetal force.

Normal force acts perpendicular to the surface upwards.

mg cos θ is perpendicular to the surface and pulls the cars downwards

F_{c} acts perpendicular to the surface and pulls the car downwards (towards the center of the circle).

A 1100 kg car drives at 30 m/s over a circular hill that has a radius of 400 m as shown in (Figure 1). At the point shown in (Figure 1), what is the normal force on the car?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Centripetal Forces & Curves concept. If you need more Centripetal Forces & Curves practice, you can also practice Centripetal Forces & Curves practice problems.