Question

A 1100 kg car is traveling around a flat 82.3 m radius curve. The coefficient of static friction between the car tires and the road is .521. What is the maximum speed in m/s at which the car can take the curve?

Answer 1

Answer:

The maximum speed of car will be 20.5m/sec

Explanation:

We have given mass of car = 1100 kg

Radius of curve = 82.3 m

Static friction $\mu _s=0.521$

We have to find the maximum speed of car

We know that at maximum speed centripetal force will be equal to frictional force $m\frac{v^2}{r}=\mu _srg$

$v=\sqrt{\mu _srg}=\sqrt{0.521\times 82.3\times 9.8}=20.5m/sec$

So the maximum speed of car will be 20.5m/sec

Answer 2

Answer:20.51 m/s

Explanation:

Given

Mass of car(m)=1100 kg

radius of curve =82.3 m

coefficient of static friction($\mu$)=0.521

here centripetal force is provided by Friction Force

$F_c(centripetal\ force)=\frac{mv^2}{r}$

Friction Force$=\mu N$

where N=Normal reaction

$\frac{mv^2}{r}=\mu N$

$\frac{1100\times v^2}{82.3}=0.521\times 1100\times 9.81$

$v^2=0.521\times 9.81\times 82.3$

$v=\sqrt{420.63}=20.51 m/s$