# Vehicle in Circular Motion#

## Part 1#

A sedan of mass 1700.0 $$\rm{kg}$$ in uniform circular motion accelerates towards the _________ of the circle due to the force of __________ friction between the sedan’s tires and the road. Please fill in the blanks with one of the options below (The choices are presented in the same order as they should appear in the sentence.)

• centre, kinetic

• outside, static

• centre, static

• outside, kinetic

## Part 2#

If the sedan moves at 87.0 $$\rm{km/h}$$ around a circle of radius 100.0 $$\rm{m}$$, find the acceleration of the sedan in SI units.

Please enter in a numeric value.

## Part 3#

Draw a free body diagram in the $$xz$$ plane (the plane shown on the right of Fig.1) to show the forces acting on the sedan in the directions perpendicular to the sedan’s motion. Please upload a pdf titled “fbd1”.

File upload box will be shown here.

## Part 4#

Find the size of the frictional force that keeps the sedan in circular motion.

Please enter in a numeric value.

## Part 5#

Above what speed would the sedan’s frictional force be overcome as the sedan tries to follow this curve?

$$\mu_s =$$ 0.6, $$\mu_k =$$ 0.4, $$\mu_r =$$ 0.02

Please enter in a numeric value.

## Part 6#

If the curve was banked toward the centre of the circle at an angle of 18.0$$^{\circ}$$ as shown on the right of Fig. 2, draw a free body diagram for the forces acting on the sedan in the directions perpendicular to the direction of motion as the sedan moves around the circle at 87.0 $$\rm{km/h}$$.

File upload box will be shown here.

## Part 7#

Resolving your vectors, solve for the force of friction required to keep the sedan in uniform circular motion at this speed with the banked curve. 