## Two Cars on a Curving Road

A) **A small car of mass m and a large car of mass 4m drive along a highway. They approach a curve of radius R. To not slip, both cars need to maintain a net force of F as they travel around the curve. How does the speed of the small car (vs) compare to the speed of the large (vL) car as they round the curve?**

**B) Now assume that two identical cars of mass m drive along a highway. One car approaches a curve of radius 2R at speed v. The second car approaches a curve of radius 6R at a speed of 3v. How does the the net force exerted on the first car, F1, compare to the net force exerted on the second car, F2?**

## Answer ( 1 )

A)

A small car of mass m and a large car of mass 4m drive along a highway. They approach a curve of radius R. To not slip, both cars need to maintain a net force of F as they travel around the curve. How does the speed of the small car (vs) compare to the speed of the large (vL) car as they round the curve?=>vs = vLB) Now assume that two identical cars of mass m drive along a highway. One car approaches a curve of radius 2R at speed v. The second car approaches a curve of radius 6R at a speed of 3v. How does the the net force exerted on the first car, F1, compare to the net force exerted on the second car, F2?=>F1 = 1/3F2