Week 12 (Oct. 27, 28, 29)
Reading: PSE Chap 9, Linear momentum and collisions
Topics: impulse, momentum, collisions, conservation of momentum, center of mass
Quiz Monday
Week 12 exercises:
Quiz Monday
Week 12 exercises:
- Center of mass problem: Four chess pieces are on a chessboard. The king (50 grams) is placed at position 1d, a knight (30 grams) at position 3g, and two pawns (20 grams each) are paced at 5c and 8f. Where is the center of mass of the four pieces?
- Perfectly inelastic collision: A 10 kg block sliding across a table is moving to the right with a speed of 5 m/s. It strikes an initially stationary block having mass 5 kg. The blocks collide, and stick together. Assume that there is no friction between the table and the sliding blocks. (a) What is the final speed of the blocks? (b) What is the speed of the center of mass immediately after the collision? (c) What is the speed of the center of mass just before the collision?
- Perfectly elastic collision: Now consider the same collision. This time, the collision is completely elastic (that is: kinetic energy is conserved; no energy is converted into heat or sound or any other form). (a) What is the final speed of the blocks? (b) What is the speed of the center of mass immediately after the collision? (c) What is the speed of the center of mass just before the collision?