A Car Drives Over The Top Of A Hill That Has A Radius Of 50m

We thoroughly check each answer to a question to provide you with the most correct answers. Found a mistake? Tell us about it through the REPORT button at the bottom of the page. Ctrl+F (Cmd+F) will help you a lot when searching through such a large set of questions.

A car drives over the top of a hill that has a radius of 50 m. What maximum speed can the car have without flying off the road at the top of the hill?

Answer: v = 22.147 m/s

Explanation

r = 50 m

The forces acting on the car are the normal reaction of the ground and the force of gravity.

According to Newton’s second law, we have:

F = ma

F = N -Fg

N = mg

Fg = mg

The maximum speed will be the speed at which the car barely touches the surface, so the force of the normal reaction of the ground can be neglected:

a car drives over the top of a hill that has a radius of 50 m .

Was this helpful?