S123. Two minions have been launched into the air. The figure shows the instant that they collide. Determine (a) the impulse that minion D imparts to minion C and report this in the x-y coordinate system, (b) the velocity of minions C and D after the collision reported in the a-b coordinate system, and (c) the coefficient of restitution for this collision. ANSWER: (a) $\text{Imp}_{D2C} = (-272\hat{i} + 127\hat{j})Ns$, (b) $\vec{v}_{C2} = (2\hat{a} + 4\hat{b}) m/s$, $\vec{v}_{D2} = (-5\hat{a} - 2\hat{b}) m/s$, (c) e = 0.539
You may assume that the time duration of the collision is very small.
The minions bounce off each other after the collision. They do not travel together after the collision.
The black line along the $\hat{a}$ direction is the line of impact for the collision.
The line of impact makes an angle of $\psi$ with respect to the x direction.
Right before collision the velocities of both minions are known: $\vec{v}_{C1}$ and $\vec{v}_{D1}$.
Minion C carries a measurement device. So, he knows that during the collision he imparts an impulse, $\text{Imp}_{C2D}$, to Minion D.
The minions are of equal mass, m.
C
Y
D
Possibly Important
Parameters
m = 30 kg
$\psi$ = 25°
$\vec{v}_{C1} = (5\hat{a} - 2\hat{b}) m/s$
$\vec{v}_{D1} = (-8\hat{a} + 4\hat{b}) m/s$
$\text{Imp}_{C2D} = 300\hat{a} Ns$
$\psi$
$\hat{a}$
