Mass $m=0\mathrm{.}1kg$ moves to the right with speed $v=0\mathrm{.}35\frac{m}{s}$ and collides with an equal mass initially at rest. After this inelastic collision the system retains a fraction $=0\mathrm{.}79$ of its original kinetic energy. How much impulse $($in units of N sec $)$ does the mass originally at rest receive during the collision?

Hints: All motion is in $1$D$.$ Ignore friction between the masses and the horizontal surface. You will probably need to use the quadratic formula to solve the resulting equations. $V_R$ must be greater than $V_L$ since the masses can't pass through each other!