Posted by **Mike Joseph** on Saturday, June 16, 2012 at 5:20pm.

A 1400 kg car rounds a curve of 57 m banked at an angle of 14 degrees

If the car is traveling at 98 km/h, will a friction force be required? If so, in what direction?

May someone please walk me through this problem step by step? Thank you

- Physics of Vehichle -
**Elena**, Sunday, June 17, 2012 at 8:09am
Let the x-axis point toward the center of curvature and the y-axis point upward. Use Newton’s second law

ΣFy = N• cos θ = mg, N

ΣFx = N• sin θ = m•v²/R,

Dividing the 2nd equation by the 1st equation, we obtain

tan θ = v² /R•g

v=sqrt(R•g•tan θ)=sqrt(57•9.8•tan14)=11.8 m/s,

V = 98 km/h =98000/3600 =27.2 m/s

V>v => the friction force is required (directed to the center of the curvature)

## Answer This Question

## Related Questions

- Physics - A 1400-kg car rounds a curve of 57-m banked at an angle of 14 degrees...
- Physics - A 1400 kg car rounds a curve of 57 m banked at an angle of 14 degree ...
- Physics Circular Motion - A 1400 kg car rounds a curve of radius 66 m banked at ...
- physics - A 2100 kg car rounds a curve of 67 m banked at an angle of 13. If the ...
- physics - How much friction force will be required if a car weighing 2100kg ...
- Physics - A 1000 kg car rounds a curve of radius 70 m banked at an angle of 12...
- Physics - A car, having a mass of 1.2 x 10^3kg rounds a curve which is banked at...
- Physics - A 2000kg car rounds a curve of 65m banked at an angle of 11∘ How...
- math - a car weighing 15000N rounds a curve of 60m. radius banked at angle of 30...
- g.k. - A. A car is traveling at a speed of 55 mi/hr along a banked highway ...

More Related Questions