Answer:
Speed = 9.9 m/s
Explanation:
Given:
Coefficient of static friction is,
Radius of the curve, m
Let the speed that has to be reached be m/s.
In order to avoid sliding while making a turn, the frictional force provides the necessary centripetal force.
We know that, frictional force acting on a body is given as:
( as there is no vertical motion)
Also, from the definition of centripetal force,
On equating the above two equations, we get
Now, plug in 0.25 for , 9.8 for and 40 for .
Therefore, speed of the car has to be slowed down to minimum of 9.9 m/s in order to avoid sliding while making a turn.