A sports car of mass 950 kg (including the driver) crosses the rounded top of a hill

Chapter 5, Problem 14P

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Problem 14P

A sports car of mass 950 kg (including the driver) crosses the rounded top of a hill (radius = 95 m) at 22 m/s. Determine (a) the normal force exerted by the road on the car, (b) the normal force exerted by the car on the 72-kg driver, and (c) the car speed at which the normal force on the driver equals zero.

Questions & Answers

QUESTION:

Problem 14P

A sports car of mass 950 kg (including the driver) crosses the rounded top of a hill (radius = 95 m) at 22 m/s. Determine (a) the normal force exerted by the road on the car, (b) the normal force exerted by the car on the 72-kg driver, and (c) the car speed at which the normal force on the driver equals zero.

ANSWER:

Solution 14P:

Step 1 of 2:-

a)

The mass of the car is: .

Radius of the rounded hill is: .

The speed of the car is: .

As the car is moving around the circular hill, it must experience the centrifugal force which is equal in magnitude but opposite to the centripetal force.

------------------------(1)

The force equation will be,

       

         .

So, the normal force by the road to the car will be: 4565.7 N.

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back