Two bumper cars collide with each other and get tangled together. Car 1 (\(m_1\)) moves north at \(v_1\text{.}\) Car 2 (\(m_2\)) moves south at \(v_2\text{.}\)
Case 1: Initially, car 1 (\(100 \mathrm{~kg}\)) moves north at \(4 \mathrm{~m/s}\) and car 2 (\(200 \mathrm{~kg}\)) moves south at \(3 \mathrm{~m/s}\text{.}\)
A small rock (mass \(m\)) is moving to the right on a frictionless table with speed \(v\text{.}\) It hits a second rock (mass \(M\)) that is initially at rest on the table. The rocks do not stick together.
Determine the total kinetic energy of the system both before and after the collision. Was kinetic energy conserved during this collision? Why or why not?
A firework is moving to the right with speed \(v\) when it explodes into two pieces with equal mass (\(m/2\)). Right after the explosion, the first piece is moving backward with speed \(v\text{.}\)
