Question $3$

A stationary object explodes inside a frictionless horizontal pipe, breaking ino two fragments. The heavier fragment has a mass of $m_1=4\mathrm{.}0kg$ and moves to the left with a speed of $v_1=3\mathrm{.}0\frac{m}{s}.$ The lighter fragment has a mass of $m_2=2\mathrm{.}0kg.$

a$)$ Calculate the speed $v_2$ of the lighter fragment immediately after the explosion, assuming the system was initially at rest and momentum is conserved.

b$)$ Calculate the momentum of each fragment and verify that the total momentum of the system is conserved.

c$)$ Compare the magnitudes of the momenta and the kinetic energies of the two fragments. Which fragment has more kinetic energy? Why?