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

The maximum speed of car will be 20.5m/sec

Step-by-step 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(v^2)/(r)=\mu _srg`

`v=√(\mu _srg)=√(0.521* 82.3* 9.8)=20.5m/sec`

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

Answer 2

Answer:20.51 m/s

Step-by-step 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)=(mv^2)/(r)`

Friction Force
`=\mu N`

where N=Normal reaction

`(mv^2)/(r)=\mu N`

`(1100* v^2)/(82.3)=0.521* 1100* 9.81`

`v^2=0.521* 9.81* 82.3`

`v=√(420.63)=20.51 m/s`