Collision

Car $1$ of mass $m_1$ is waiting at a traffic light.

Car $1$ is struck from behind by Car $2$ of mass $m_2.$

The two cars stick together after the collision.

Car $2$ was traveling at $v_{2i}=30\mathrm{.}0\frac{m}{s}$ before the collision.

What is the initial kinetic energy, in $[$J$],$ of car $2,$ if $m_2=1000kg?$

What is the initial linear momentum of car $1$ if $m_1=2500kg?$

What is the initial linear momentum, in $kg\frac{m}{s},$ of car $2$ if $m_2=1000kg?$

$1$ point

What is the kinetic, in $[$J$],$ of the system after the collision if $m_1=2500kg$ and $m_2=$

$1000kg?$

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$0\mathrm{.}5$ points

What kind of collision is described in this problem?

inelastic

elastic

perfectly elastic

explosive

$0\mathrm{.}5$ points

Match the quantities to their conservation status in this collision?

Kinetic Energy

$|0\mathrm{.}5$ points

not conserved

What is the velocity of the entangled cars after the collision in terms of masses

$m_1$ and $m_2,$ and the initial velocity of the second car?

$v_f=m_2\frac{v_i}{m_1-m_2}$

$v_f=m_1\frac{v_i}{m_1+m_2}$

$v_f=\frac{m_1+m_2}{m_2}{v}_i$

$v_f=m_2\frac{v_i}{m_1+m_2}$