What is the stopping distance for a vehicle of mass m moving with speed v along a level road, if the co-efficient of friction between the tyres and the road is mu?

What is the stopping distance for a vehicle of mass m moving with spee

1.	What is the stopping distance for a vehicle of mass m moving with speed v along a level road, if the co-efficient of friction between the tyres and the road is mu?
Answer» Solution :When the vehicle of mass m is MOVING with velocity v, the kinetic energy of the vehicle `KE=((1)/(2))mv^(2)` and if s is the stopping DISTANCE, then work DONE by FRICTION. `W=fscostheta=mumgscos180^(@)` So by work - Energy theorem, `W=Deltak=k_(f)-k_(i)` i.e., `-mumgs=0-(1)/(2)mv^(2)ors=(v^(2))/(2mug)`