Section 4.7: Mixed Practice

This section provides a variety of problems covering center of mass, momentum, impulse, and collisions.

Practice Problems

  1. Two carts, 2 kg and 3 kg, collide inelastically at 4 m/s and 2 m/s. Find final velocity.
  2. A 5 kg ball moving at 6 m/s collides elastically with a stationary 5 kg ball. Find final velocities.
  3. Three particles of masses 1 kg, 2 kg, and 3 kg move along a line with velocities 2, -1, and 3 m/s. Find center of mass velocity.
  4. A 4 kg and 6 kg cart collide inelastically. Initial velocities 3 m/s and 0 m/s. Find final velocity.
  5. A 2 kg and 5 kg cart undergo an elastic collision. Initial velocities 3 m/s and -1 m/s. Find final velocities.
  6. Two cars, 1200 kg and 1000 kg, collide inelastically at 15 m/s and 5 m/s. Determine final velocity.
  7. A particle of mass 2 kg moving at 4 m/s collides elastically with a 3 kg stationary particle. Find post-collision velocities.
  8. Three carts of masses 2 kg, 3 kg, and 4 kg move along a track at 3 m/s, -2 m/s, and 1 m/s. Determine center of mass velocity.
  9. A 5 kg ball moving at 8 m/s hits a stationary 5 kg ball elastically. Outline the solution steps.
  10. Two blocks, 3 kg and 4 kg, collide inelastically, initial velocities 2 m/s and -1 m/s. Find final speed.