Explanation:
It is given that,
Mass of the car, m = 1000 kg
Speed of the car, v = 100 km/h = 27.77 m/s
The coefficient of kinetic friction of the tires,
Let f is the net force acting on the body due to frictional force, such that,
We know that the acceleration of the car in calculus is given by :
, x is the stopping distance
On solving the above equation, we get, x = 78.69 meters
So, the stopping distance for the car is 78.69 meters. Hence, this is the required solution.
Let say the two train cars are of masses and
now if the speed of two cars are and
then we can say that the momentum of two cars before they collide is given by
here two cars are moving in opposite direction so we can say that the net momentum is subtraction of two cars momentum.
Now since in these two car motion there is no external force on them while they collide
So the momentum of two cars are always conserved.
hence we can say that the final momentum of two cars will be same after collision as it is before collision