Question

Two identical cars were involved in a collision at an icy intersection. Car A was stopped at a traffic light. Car B was moving at a speed v when it suffered a perfectly inelastic collision with the back end of car A. With what speed did the two cars slide into the intersection after the collision?

a) 2v
b) v
c) v2
d) w4
c) v/8

Answer 1

option C

Step-by-step explanation:

given,

Initial speed of the Car A = 0 m/s

Initial speed of the Car B = v m/s

final speed, V = ?

mass of both the car = m

using conservation of momentum

m u + m v = (m + m) V

m x 0 + m v = 2 m V

2 V = v

`V = (v)/(2)`

so, the velocity of the both the car after collision is v/2

Hence, the correct answer is option C