- #1

Order

- 97

- 3

## Homework Statement

Cars

*B*and

*C*are at rest with their brakes off. Car

*A*plows into

*B*at high speed, pushing

*B*into

*C*. If the collisions are completely inelastic, what fraction of the initial energy is dissipated in car

*C*? Initially the cars are identical.

## Homework Equations

[tex]p_{i}=p_{f}[/tex]

## The Attempt at a Solution

The momentum is conserved and since it is a completely inelastic collision the cars are stuck to each other with velocity

*v*, different from the initial velocity

*v*. [tex]mv_{0}=3mv[/tex] and [tex]v=\frac{v_{0}}{3}[/tex] and for car

_{0}*C*

[tex]\frac{E_{C}}{E_{0}}=\frac{(v_{0}/3)^{2}}{v_{0}^{2}}=\frac{1}{9}.[/tex] Unfortunately the answer in my answer sheet is 1/6. What is wrong?