Question

When you take your 1900 kg car out for a spin, you go around a corner of radius 53 m with a speed of 13 m/s. If the co-efficient of friction between your tires and the road is 0.75, do you think you would be safe and make a round without skidding off?

Answer 1

Answer:

Yes, you would be safe without skidding off

Explanation:

In this situation the sum of forces on the car would be:

$F_f = m*\frac{V^2}{R}$

$F_f = 1900*\frac{13^2}{53}$

$F_f = 6058.5N$

And the maximum friction force is:

$F_fmax = \mu*N$

$F_fmax = \mu*m*g$

$F_fmax = 0.75*1900*10$

$F_fmax = 14250N$

Since the required force is smaller than the maximum force, we can say it will not skid off