A collision in which objects collide and some mechanical Vocabulary Inelastic collision: energy is transformed into heat energy. A common kind of inelastic collision one in which the colliding objects stick is together, or start out stuck together and then separate. However, in an inelastic collision the objects need not remain stuck together but may instead deform in some way. Because momentum is also conserved in an inelastic collision, the before the mv collision for each of the two objects must equal the after the collision for each mv of the two objects. When stuck together after the collision (assuming objects are mass does not change), this equation becomes where is the combined final velocity of the two objects. Vf Solved Examples Tom and his twin brother Tim, combined mass of 200.0 are Example 5: have a kg-and m/ zooming along in a 100.0-kg amusement park bumper car at 10.0 s. They bump Melinda's car, which is sitting still. Melinda has a mass of 25.0 kg. After the elastic collision, the twins continue ahead with a speed of 4.12 m/s. How fast is Melinda's car bumped across the floor? Notice that you must add the mass of the bumper car to the mass of the Solution: riders. · = 4.12 m/s v1f Given: 300.0 kg m1 = 125.0 kg m2 = 10.0 m/s = v1i =? Unknown: v2f = 0 m/s v2i Original equation: Solve: + (300.0 kg) (l0.0 m/s) (125.0 kg) (0 m/s) - (300,0 kg) (4.12 m/s) =------------------------ 125.0 kg Momentum 125.0 kg + 3000 kg·m/s 0 kg·m/s - 1236 kg·m/s =14.1 m/s 125.0 kg 1764 kg·m/s
Vocabulary Inelastic collision: A collision in which objects collide and some mechanical energy is transformed into heat energy. A common kind of inelastic collision is one in which the colliding objects stick together, or start out stuck together and then separate. However, in an inelastic collision the objects need not remain stuck together but may instead deform in some way. Because momentum is also conserved in an inelastic collision, the mv before the collision for each of the two objects must equal the mv after the collision for each of the two objects. When objects are stuck together after the collision (assuming mass does not change), this equation becomes where Vf is the combined final velocity of the two objects. Solved Examples Example 5: Tom and his twin brother Tim, have a combined mass of 200.0 kg-and are zooming along in a 100.0-kg amusement park bumper car at 10.0 m/ s. They bump Melinda's car, which is sitting still. Melinda has a mass of 25.0 kg. After the elastic collision, the twins continue ahead with a speed of 4.12 m/s. How fast is Melinda's car bumped across the floor? Solution: Notice that you must add the mass of the bumper car to the mass of the riders. · Given: m1 = 300.0 kg m2 = 125.0 kg v1i = 10.0 m/s v2i = 0 m/s v1f = 4.12 m/s Unknown: v2f =? Original equation: Solve: (300.0 kg) (l0.0 m/s) + (125.0 kg) (0 m/s) - (300,0 kg) (4.12 m/s) =------------------------ 125.0 kg Momentum 3000 kg·m/s + 0 kg·m/s - 1236 kg·m/s 125.0 kg 1764 kg·m/s 125.0 kg =14.1 m/s
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