Impulse and Momentum of an auto

[kaspis245]

Homework Statement

An automobile has a mass of 2300 kg and a velocity of
+16 m/s. It makes a rear-end collision with a stationary car
whose mass is 1800 kg. The cars lock bumpers and skid off
together with the wheels locked. (a) What is the velocity of the
two cars just after the collision? (b) Find the impulse (magnitude
and direction) that acts on the skidding cars from just after the col-
lision until they come to a halt. (c) If the coefficient of kinetic fric-
tion between the wheels of the cars and the pavement is
0.80, determine how far the cars skid before coming to rest.

a) v = 9 m/s
b) FΔt = -36800 Ns

I need to find only the c part of the problem.

Homework Equations

The Principle of Conservation of Linear Momentum

The Attempt at a Solution

The answer must be s = 5.2 m

 

[DEvens]

Where did the formula ug - a = a come from? The coef of friction between the cars and the pavement is 0.8. Both cars. So what acceleration do the cars experience due to friction? Yes, it really is that simple.