Chapter Test Questions

1. A 2 kg and a 3 kg particle move towards each other with velocities 4 m/s and -3 m/s. Determine total momentum and velocity after a perfectly inelastic collision.
2. Three particles of masses 1 kg, 2 kg, 3 kg have velocities 2, 0, -1 m/s along a line. Find center of mass velocity and total momentum.
3. An elastic collision occurs between a 5 kg ball moving at 6 m/s and a stationary 5 kg ball. Find final velocities and kinetic energy change.
4. Two cars collide inelastically, masses 1200 kg and 1000 kg, velocities 15 m/s and 5 m/s. Determine final velocity and kinetic energy lost.
5. Explain conceptually why momentum is always conserved in an isolated system.
6. A system of particles has no external forces. Show mathematically that the center of mass moves with constant velocity.
7. Two objects collide obliquely in 2D. Given masses and velocities, find post-collision velocities using conservation of momentum in x and y directions.
8. Explain how impulse-momentum theorem applies to car safety during collisions.
9. Four particles with given velocities and masses collide. Determine total momentum before and after collision.
10. Compare kinetic energy before and after inelastic collisions for a set of given problems.