An engineer wants to design an oval racetrack such that 1.424 x 104 N race cars can round the exactly 304.9 m radius turns at 45.6 m/s without the aid of friction. She estimates that the cars will round the turns at a maximum of 78.2 m/s. Find the banking angle θ necessary for the race cars to navigate the turns at 45.6 m/s without the aid of friction.

The banking angle required is .

Explanation:

Banking of a road is the act of constructing a road along a curved path at a certain angle to avoid skidding-off of vehicles plying it. Centripetal force is required to pull the object moving with a velocity 'v' towards the center of the curve for stability.

The velocity of a car navigating a banked road is given by:

     v =(rg ÷ tanθ)

where: r is the radius of the road, g is the gravitational force and θ is the banking angle.

⇒ = rg ÷ tanθ

   tanθ =

     θ    =    

           =     (given that g = 10)

           =

          = 1.4663

     θ   =

The banking angle required is .

moving ball hits still ball. mover stops, hit ball moves. momentum transfer.

2b2t

explanation:

2b2t